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FURTHER EXPANSION FORMULAS FOR A CLASS OF GENERALIZED HURWITZ-LERCH ZETA FUNCTIONS OBTAINED BY MEANS OF A NEW LEIBNIZ RULE FOR FRACTIONAL DERIVATIVES
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2024
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Abdelmejid Bayad
Sébastien Gaboury
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PDF
Chat
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Finite sums involving trigonometric functions and special polynomials: Analysis of generating functions and p-adic integrals
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2024
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Neslihan Kılar
Abdelmejid Bayad
Yılmaz Şimşek
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FINITE SUMS INVOLVING TRIGONOMETRIC FUNCTIONS AND SPECIAL POLYNOMIALS: ANALYSIS OF GENERATING FUNCTIONS AND p-ADIC INTEGRALS
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2024
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Neslihan Kılar
Abdelmejid Bayad
Yılmaz Şimşek
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RECIPROCITY LAWS FOR DEDEKIND COTANGENT SUMS
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2023
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Abdelmejid Bayad
Abdelaziz Raouj
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PDF
Chat
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On fixed divisors of the values of the minimal polynomials over Z of algebraic numbers
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2023
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M Ayad
Abdelmejid Bayad
O Kihel
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On Jacobi forms, and explicit evaluations of some trigonometric sums
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2022
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Abdelmejid Bayad
Mounir Hajli
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New results on Bernoulli numbers of higher order
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2022
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Chouaib Khattou
Abdelmejid Bayad
Mohand Ouamar Hernane
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PDF
Chat
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ON FIXED DIVISORS OF THE MINIMAL POLYNOMIALS OVER Z OF ALGEBRAIC NUMBERS
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2022
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Mohamed Ayad
Abdelmejid Bayad
Omar Kihel
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PDF
Chat
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The extended Eulerian numbers over function fields
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2022
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Abdelmejid Bayad
Mounir Hajli
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CONVOLUTION SUM OF RAMANUJAN'S SUM
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2022
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Gye Hwan Jo
Abdelmejid Bayad
Daeyeoul Kim
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Recent Advances in Number Theory and Their Applications
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2021
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Abdelmejid Bayad
Yılmaz Şimşek
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Extended Eulerian numbers and prime zeta functions type
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2021
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Abdelmejid Bayad
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PDF
Chat
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p-Adic q-Twisted Dedekind-Type Sums
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2021
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Abdelmejid Bayad
Yılmaz Şimşek
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PDF
Chat
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Multiple Dedekind Type Sums and Their Related Zeta Functions
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2021
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Abdelmejid Bayad
Yılmaz Şimşek
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PDF
Chat
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On the indices in number fields and their computation for small degrees
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2020
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Abdelmejid Bayad
Mohammed Seddik
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A study of Möbius-Bernoulli numbers
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2020
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Daeyeoul Kim
Abdelmejid Bayad
Hyungyu Ahn
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PDF
Chat
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Index, the prime ideal factorization in simplest quartic fields and counting their discriminants
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2020
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Abdelmejid Bayad
Mohammed Seddik
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On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials
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2019
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Abdelmejid Bayad
Mounir Hajli
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PDF
Chat
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Arithmetical properties of double Möbius-Bernoulli numbers
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2019
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Abdelmejid Bayad
Daeyeoul Kim
Yan Li
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PDF
Chat
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Some new congruences for (s,t)-regular bipartition functions
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2019
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Chandrashekar Adiga
Abdelmejid Bayad
Ranganatha Dasappa
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PDF
Chat
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On cubic Thue equations and the indices of algebraic integers in cubic fields
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2019
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Abdelmejid Bayad
Mohammed Seddik
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JACOBI FORMS IN TWO VARIABLES: MULTIPLE ELLIPTIC DEDEKIND SUMS, THE KUMMER-VON STAUDT CLAUSEN CONGRUENCES FOR ELLIPTIC BERNOULLI FUNCTIONS AND VALUES OF HECKE L-FUNCTIONS
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2019
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Abdelmejid Bayad
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PDF
Chat
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Mean Values of Products of L-Functions and Bernoulli Polynomials
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2018
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Abdelmejid Bayad
Daeyeoul Kim
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Reciprocity formulae for generalized Dedekind‐Vasyunin‐cotangent sums
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2018
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Abdelmejid Bayad
Mouloud Goubi
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Zeta functions interpolating the convolution of the Bernoulli polynomials
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2018
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Abdelmejid Bayad
Takao Komatsu
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Common Divisors of Values Polynomials and common factors of indices in a Number Field
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2018
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Abdelmejid Bayad
Mohammed Seddik
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On cubic Thue equations and the common index divisors of cyclic cubic fields
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2018
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Abdelmejid Bayad
Mohammed Seddik
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Note on Möbius-Bernoulli numbers
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2018
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Abdelmejid Bayad
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k-ary Lyndon Words and Necklaces Arising as Rational Arguments of Hurwitz–Lerch Zeta Function and Apostol–Bernoulli Polynomials
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2017
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İrem Küçükoğlu
Abdelmejid Bayad
Yılmaz Şimşek
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PDF
Chat
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Explicit and asymptotic formulae for Vasyunin-cotangent sums
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2017
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Mouloud Goubi
Abdelmejid Bayad
Mohand Ouamar Hernane
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Reciprocity theorems for Bettin–Conrey sums
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2017
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Juan S. Auli
Abdelmejid Bayad
Matthias Beck
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On the extensibility of the D(4)-triple {k -2, k + 2, 4k} over Gaussian integers
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2017
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Abdelmejid Bayad
Appolinaire Dossavi-Yovo
Alan Filipin
Alain Togbé
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PDF
Chat
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New characterization of Appell polynomials
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2016
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Abdelmejid Bayad
Takao Komatsu
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PDF
Chat
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On extended Eulerian numbers
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2016
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Abdelmejid Bayad
Mohand Ouamar Hernane
Alain Togbé
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PDF
Chat
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Polygon Numbers Associated with the Sum of Odd Divisors Function
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2016
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Daeyeoul Kim
Abdelmejid Bayad
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Identities for Apostol-type Frobenius–Euler polynomials resulting from the study of a nonlinear operator
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2016
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Abdelmejid Bayad
T. Kim
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Extension of a parametric family of Diophantine triples in Gaussian integers
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2016
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Abdelmejid Bayad
Alan Filipin
Alain Togbé
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Möbius inversion formulas related to the Fourier expansions of two-dimensional Apostol–Bernoulli polynomials
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2016
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Abdelmejid Bayad
Luis M. Navas
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Reciprocity Theorems for Bettin--Conrey Sums
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2016
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Juan S. Auli
Abdelmejid Bayad
Matthias Beck
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On finite forms of Bailey's 2ψ2 transformation formulae and their applications
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2016
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Abdelmejid Bayad
D. D. Somashekara
K. Narasimha Murthy
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Zeta functions interpolating the convolution of the Bernoulli polynomials
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2016
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Abdelmejid Bayad
Takao Komatsu
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PDF
Chat
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The Jacobi form D_L, theta functions, and Eisenstein series
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2016
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Abdelmejid Bayad
Gilles Robert
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+
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Reciprocity Theorems for Bettin--Conrey Sums
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2016
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Juan S. Auli
Abdelmejid Bayad
Matthias Beck
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Algebraic properties and Fourier expansions of two-dimensional Apostol–Bernoulli and Apostol–Euler polynomials
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2015
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Abdelmejid Bayad
Luis M. Navas
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PDF
Chat
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CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS
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2015
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Daeyeoul Kim
Abdelmejid Bayad
Nazlı Yıldız İkikardeş
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Some array type polynomials associated with special numbers and polynomials
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2014
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Abdelmejid Bayad
Yılmaz Şimşek
H. M. Srivastava
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PDF
Chat
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Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus
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2014
|
H. M. Srivastava
Sébastien Gaboury
Abdelmejid Bayad
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Multiple Dedekind–Rademacher sums in finite fields
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2014
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Abdelmejid Bayad
Yoshinori Hamahata
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+
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Relations for Bernoulli–Barnes numbers and Barnes zeta functions
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2014
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Abdelmejid Bayad
Matthias Beck
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+
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Multiple Dedekind–Rademacher sums in function fields
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2014
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Abdelmejid Bayad
Yoshinori Hamahata
|
|
+
PDF
Chat
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Euler Polynomials and Combinatoric Convolution Sums of Divisor Functions with Even Indices
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2014
|
Daeyeoul Kim
Abdelmejid Bayad
Joongsoo Park
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+
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Apostol-Euler polynomials and asymptotics for negative binomial reciprocals
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2014
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Abdelmejid Bayad
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+
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Results on values of Barnes polynomials
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2013
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Abdelmejid Bayad
Taekyun Kim
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+
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Convolution Identities on the Apostol–Hermite Base of Two Variables Polynomials
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2013
|
Abdelmejid Bayad
Yılmaz Şimşek
|
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+
PDF
Chat
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Möbius inversion formulae for Apostol-Bernoulli type polynomials and numbers
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2013
|
Abdelmejid Bayad
Jamel Chikhi
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|
+
PDF
Chat
|
Hecke operators type and generalized Apostol-Bernoulli polynomials
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2013
|
Aykut Ahmet Aygunes
Abdelmejid Bayad
Yılmaz Şimşek
|
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+
PDF
Chat
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Reduction and duality of the generalized Hurwitz-Lerch zetas
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2013
|
Abdelmejid Bayad
Jamel Chikhi
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|
+
PDF
Chat
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Convolution identities for twisted Eisenstein series and twisted divisor functions
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2013
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Daeyeoul Kim
Abdelmejid Bayad
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+
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Values of twisted Barnes zeta functions at negative integers
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2013
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Abdelmejid Bayad
Yılmaz Şimşek
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+
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Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
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2013
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Abdelmejid Bayad
Matthias Beck
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|
+
PDF
Chat
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Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
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2013
|
Abdelmejid Bayad
Matthias Beck
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|
+
PDF
Chat
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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
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2013
|
Sébastien Gaboury
Abdelmejid Bayad
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Relation connecting Zagreb co-indices on Three graph Operators
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2013
|
Abdelmejid Bayad
V. Lokesha
P. S. Ranjini
A.R. Bindusree
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+
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Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
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2013
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Abdelmejid Bayad
Matthias Beck
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+
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Generalized dirichlet L-function of arbitrary order with applications
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2013
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Abdelmejid Bayad
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+
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Proof of the Möbius conjecture revisited
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2013
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Abdelmejid Bayad
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+
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Arithmetic properties of q-Barnes polynomials
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2013
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Abdelmejid Bayad
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DEDEKIND SUMS AND VALUES OF $L$-FUNCTIONS AT POSITIVE INTEGERS (Analytic Number Theory : related Multiple aspects of Arithmetic Functions)
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2012
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Abdelmejid Bayad
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<i>q</i>‐Bernstein polynomials related to <i>q</i>‐Frobenius–Euler polynomials, <i>l</i>‐functions, and <i>q</i>‐Stirling numbers
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2012
|
Yılmaz Şimşek
Abdelmejid Bayad
V. Lokesha
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Mean values of L -functions and Dedekind sums
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2012
|
Abdelmejid Bayad
Abdelaziz Raouj
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+
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Higher recurrences for Apostol-Bernoulli-Euler numbers
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2012
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Abdelmejid Bayad
T. Kim
|
|
+
PDF
Chat
|
Multiple polylogarithms and multi-poly-Bernoulli polynomials
|
2012
|
Abdelmejid Bayad
Yoshinori Hamahata
|
|
+
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The minimal polynomial of 2 cos(π/q) and Dickson polynomials
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2012
|
Abdelmejid Bayad
İsmail Naci Cangül
|
|
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PDF
Chat
|
-Adic Analysis with -Analysis and Its Applications
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2012
|
Cheon-Seoung Ryoo
Taekyun Kim
Abdelmejid Bayad
Yılmaz Şimşek
|
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+
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Identities Involving Two Kinds of q-Euler Polynomials and Numbers
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2012
|
Abdelmejid Bayad
Yoshinori Hamahata
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+
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Identities On The Bernoulli And The Euler Numbers And Polynomials.
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2012
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Taekyun Kim
Dae San Kim
Abdelmejid Bayad
Seog-Hoon Rim
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p-Adic Analysis with q-Analysis and Its Applications.
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2012
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C. S. Ryoo
Taekyun Kim
Abdelmejid Bayad
Yılmaz Şimşek
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The minimum covering energy of a graph
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2012
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Chandrashekar Adiga
Abdelmejid Bayad
Iván Gutman
Avant Shrikanth Srinivas
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A note on Mycielskian type of a graph
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2012
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Abdelmejid Bayad
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+
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Identities involving two kinds of q-Euler polynomials and number
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2012
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Abdelmejid Bayad
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+
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Q-extension of bernstein polynomials with weight (\alpha, \beta)
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2012
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Abdelmejid Bayad
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+
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Identities on the bernoulli and the euler numbers and polynomials
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2012
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Abdelmejid Bayad
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+
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Non linear recurrences for Apostol-Bernoulli-Euler numbers of higher order
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2012
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Abdelmejid Bayad
|
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+
PDF
Chat
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Higher dimensional Dedekind sums in function fields
|
2011
|
Abdelmejid Bayad
Yoshinori Hamahata
|
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+
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Arithmetic of higher dimensional Dedekind–Rademacher sums
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2011
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Abdelmejid Bayad
Abdelaziz Raouj
|
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PDF
Chat
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A NOTE ON THE GENERALIZED BERNSTEIN POLYNOMIALS
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2011
|
Abdelmejid Bayad
T. Kim
S.H. Lee
D. V. Dolgy
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PDF
Chat
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A new construction on the q-Bernoulli polynomials
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2011
|
Seog-Hoon Rim
Abdelmejid Bayad
Eun-Jung Moon
Joung-Hee Jin
Sun-Jung Lee
|
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PDF
Chat
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Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials
|
2011
|
Abdelmejid Bayad
T. Kim
|
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+
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Higher dimensional Dedekind sums in finite fields
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2011
|
Abdelmejid Bayad
Yoshinori Hamahata
|
|
+
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Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
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2011
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Abdelmejid Bayad
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+
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Arakawa–Kaneko L-functions and generalized poly-Bernoulli polynomials
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2011
|
Abdelmejid Bayad
Yoshinori Hamahata
|
|
+
PDF
Chat
|
Reciprocity formulae for multiple Dedekind–Rademacher sums
|
2011
|
Abdelmejid Bayad
Abdelaziz Raouj
|
|
+
PDF
Chat
|
Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions
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2011
|
Abdelmejid Bayad
Yılmaz Şimşek
|
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+
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Bernstein polynomials on Simplex
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2011
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Abdelmejid Bayad
T. Kim
Seog-Hoon Rim
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+
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Note on the Hurwitz Zeta Function of Higher Order
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2011
|
Abdelmejid Bayad
Yılmaz Şimşek
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
Zacharias Anastassi
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PDF
Chat
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Some Identities on Bernstein Polynomials Associated with -Euler Polynomials
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2011
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Abdelmejid Bayad
T. Kim
Byungje Lee
Seog-Hoon Rim
|
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PDF
Chat
|
POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
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2011
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Abdelmejid Bayad
Yoshinori Hamahata
|
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+
PDF
Chat
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A Study on the -Adic -Integral Representation on Associated with the Weighted -Bernstein and -Bernoulli Polynomials
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2011
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T. Kim
Abdelmejid Bayad
YH Kim
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Some identities on Bernstein polynomials associated with q-Euler polynomials
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2011
|
Abdelmejid Bayad
Taekyun Kim
Byunje Lee
Seog-Hoon Rim
|
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+
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ON THE SYMMETRY PROPERTIES OF THE GENERALIZED HIGHER-ORDER EULER POLYNOMIALS †
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2011
|
Abdelmejid Bayad
Taekyun Kim
Jongsung Choi
Young‐Hee Kim
Byungje Lee
|
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+
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A Study on the <inline-formula> <graphic file="1029-242X-2011-513821-i1.gif"/></inline-formula>-Adic <inline-formula> <graphic file="1029-242X-2011-513821-i2.gif"/></inline-formula>-Integral Representation on <inline-formula> <graphic file="1029-242X-2011-513821-i3.gif"/></inline-formula> Associated with the Weighted <inline-formula> <graphic file="1029-242X-2011-513821-i4.gif"/></inline-formula>-Bernstein and <inline-formula> <graphic file="1029-242X-2011-513821-i5.gif"/></inline-formula>-…
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2011
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Abdelmejid Bayad
Kim T
Young Hoon Kim
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+
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Special values of lerch zeta function and their fourier expansions
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2011
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Abdelmejid Bayad
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+
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q-Frobenius-Euler Polynomials Related to the (q-)Bernstein Type Polynomials
|
2010
|
Yılmaz Şimşek
Mehmet Açıkgöz
Abdelmejid Bayad
V. Lokesha
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
|
|
+
PDF
Chat
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Reciprocity formulae for general multiple Dedekind–Rademacher sums and enumeration of lattice points
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2010
|
Abdelmejid Bayad
Abdelaziz Raouj
|
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+
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Un problème d'alignement dans la variété de Kummer-Wirtinger
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2010
|
Abdelmejid Bayad
Frédéric Mitterrand
|
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+
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On the N, p n k Summability of Factored Fourier Series
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2010
|
Anumanthappa Ganesh
G. Balasubramanian
Abdelmejid Bayad
F. Mitterrand
|
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+
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Arithmetical Properties of Elliptic Bernoulli and Euler Numbers
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2010
|
Abdelmejid Bayad
Frédéric Mitterrand
|
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+
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Modular properties of elliptic Bernoulli and Euler functions
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2010
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Abdelmejid Bayad
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+
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Identities for the bernoulli, the euler and the genocchi numbers and polynomials
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2010
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Abdelmejid Bayad
|
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+
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On the {$|\overline N,p_n|_k$} summability of factored {F}ourier series
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2010
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Abdelmejid Bayad
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+
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On values of Jacobi forms and elliptic Dedekind Sums
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2009
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Abdelmejid Bayad
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+
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Jacobi forms of two variables: Distribution formulas and arithmetic applications.
|
2005
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Abdelmejid Bayad
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+
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Formes de Jacobi et formules de distribution
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2004
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Abdelmejid Bayad
Jesús Gómez Ayala
|
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PDF
Chat
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Applications aux sommes elliptiques d'Apostol–Dedekind–Zagier
|
2004
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Abdelmejid Bayad
|
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+
PDF
Chat
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Sommes elliptiques multiples d'Apostol–Dedekind–Zagier
|
2004
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Abdelmejid Bayad
|
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+
PDF
Chat
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Sommes de Dedekind elliptiques et formes de Jacobi
|
2001
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Abdelmejid Bayad
|
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+
PDF
Chat
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Formes de jacobi et formule de Weber $p$-adique
|
1999
|
Abdelmejid Bayad
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+
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Note sur une forme de Jacobi méromorphe
|
1997
|
Abdelmejid Bayad
Gilles Robert
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+
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Valuationq-adique et relation de distribution additive pour certaines fonctionsq-périodiques
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1997
|
Abdelmejid Bayad
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PDF
Chat
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Amélioration d'une congruence pour certains éléments de Stickelberger quadratiques
|
1997
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Abdelmejid Bayad
Gilles Robert
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+
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Sommes arithmétiques et éléments de Stickelberger
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1996
|
Abdelmejid Bayad
Werner Bley
Ph. Cassou-Noguès
|
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+
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Galois Structure of Rings of Integers and Elliptic Curves without Complex Multiplication
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1995
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Abdelmejid Bayad
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+
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Elliptic resolvents and Stickelberger elements.
|
1992
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Abdelmejid Bayad
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+
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Résolvantes elliptiques et éléments de Stickelberger
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1992
|
Abdelmejid Bayad
|