SU\G(𝔸)/K·U
Mathematics › Algebra and Number Theory

Advanced Mathematical Identities

Works Count: 27874

Description

This cluster of papers focuses on the arithmetic properties, modular forms, q-series, and supercongruences related to multiple zeta values. It explores Ramanujan-type formulas, harmonic maass forms, and motivic periods in the context of number theory.

Keywords

Multiple Zeta Values; Modular Forms; q-Series; Supercongruences; Polylogarithms; Partition Function; Ramanujan-Type Formulas; Harmonic Maass Forms; Motivic Periods; Number Theory

Most Cited Works

Action Title Date Authors
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Approximate formulas for some functions of prime numbers 1962-03-01 J. Barkley Rosser Lowell Schoenfeld
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Logarithmic Combinatorial Structures: A Probabilistic Approach 2003-12-15 Richard Arratia A. D. Barbour Simon Tavaré
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Series Associated with the Zeta and Related Functions 2001-01-01 H. M. Srivastava Junesang Choi
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Elliptic Functions according to Eisenstein and Kronecker 1976-01-01 André Weil
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The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series 2003-12-22 Ken Ono
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Lectures on n-Dimensional Quasiconformal Mappings 1971-01-01 Jussi Väısälä
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Introduction to Analytic and Probabilistic Number Theory 2015-07-16 Gérald Tenenbaum
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Enumerative Combinatorics: Volume 1 2011-12-12 Richard P. Stanley
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Percolation Theory for Mathematicians. 1984-01-01 J. M. Hammersley Harry Kesten
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Probabilistic algorithms for sparse polynomials 1979-01-01 Richard Zippel
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Elements of the Theory of Elliptic Functions 1990-05-01 Н. И. Ахиезер
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Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach 2000-10-06 Percy Deift
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Transcendental Number Theory 1975-04-24 A. Baker
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The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue 1996-01-01 Roelof Koekoek René F. Swarttouw
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Mock Theta Functions 2002-10-30 Sander Zwegers
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials 1985-01-01 Richard Askey James Wilson
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Values of Zeta Functions and Their Applications 1994-01-01 Don Zagier
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<i>Integrals and Series</i> 1988-10-01 A. P. Prudnikov Yu. A. Brychkov O. I. Marichev Robert H. Romer
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Topics in Analytic Number Theory 1973-01-01 Hans Rademacher
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Combinatorial aspects of continued fractions 1980-01-01 Philippe Flajolet
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Singularity Analysis of Generating Functions 1990-05-01 Philippe Flajolet Andrew Odlyzko
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Representation of Lie Groups and Special Functions 1992-01-01 N. Ja. Vilenkin A. U. Klimyk
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Algorithm 448: number of multiply-restricted partitions 1973-06-01 Terry Beyer D. F. Swinehart
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An Introduction to the Theory of Numbers. 1961-06-01 W. J. LeVeque Ivan Niven Herbert S. Zuckerman
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Statistical field theory 1989-03-01 R. F. Bishop
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Asymptotic Formulaae in Combinatory Analysis 1918-01-01 G. H. Hardy S. Ramanujan
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Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes 1923-01-01 G. H. Hardy J. E. Littlewood
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Some integrals involving theQ_Mfunction (Corresp.) 1975-01-01 Albert H. Nuttall
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A Treatise on the Theory of Bessel Functions. 1923-09-01 Matthew Porter G. N. Watson
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INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS 1980-02-28 Vadim V. Nikulin
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On the normal concentration of divisors, 2 2009-07-06 Helmut Maier Gérald Tenenbaum
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Some combinatorial properties of Jack symmetric functions 1989-09-01 Richard P. Stanley
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Permutohedra, Associahedra, and Beyond 2009-01-01 Alexander Postnikov
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Distribution of Zeros of Entire Functions 1964-12-31 Б. В. Левин
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Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities 1984-05-01 George E. Andrews R. J. Baxter Peter J. Forrester
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Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors 1913-10-01 L. E. Dickson
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Theory of Non-Commutative Polynomials 1933-07-01 Öystein Ore
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The Chebyshev Polynomials 2002-06-12
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Contingency Tables Involving Small Numbers and the χ2 Test 1934-07-01 F Yates
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The lost notebook and other unpublished papers 1989-07-01 Srinivasa Ramanujan Aiyangar George E. Andrews
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HARMONIC POLYLOGARITHMS 2000-02-20 E. Remiddi J. A. M. Vermaseren
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On Modular Forms of Half Integral Weight 1973-05-01 Goro Shimura
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Normal Approximation by Stein’s Method 2010-10-13 Louis H. Y. Chen Larry Goldstein Qi-Man Shao
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Actuarial Mathematics. 1986-06-01 Louis M. Friedler Newton L. Bowers Hans U. Gerber James C. Hickman D. A. Jones Cecil J. Nesbitt
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Ramanujan’s Notebooks 1991-01-01 Bruce C. Berndt
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Chebyshev Polynomials 2002-09-17 J. C. Mason D. C. Handscomb
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Statistical Theory of Superlattices 1997-07-01 H. A. Bethe
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Introduction to Analytic Number Theory 1976-01-01 Tom M. Apostol
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Zeta and q-Zeta Functions and Associated Series and Integrals 2012-01-01 H. M. Srivastava June-Sang Choi
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𝑞-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra 1986-12-31 George E. Andrews

Most Recent Works

Action Title Date Authors
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On the generating functions of products mixing two <i>k</i>-Fibonacci and other sequences 2025-04-25 Carlos M. da Fonseca
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The Asymptotics of Coefficients of Dedekind Zeta Functions on Certain Integral Binary Quadratic Forms 2025-04-26 Guodong Hua
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A New Proof for Irrationality of π 2025-04-26 R. Sivaraman J. Suganthi Vijayakumar Ponnusamy
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On Tribonacci numbers written as a product of two Perrin numbers 2025-04-25 Zeynep Demirkol Ozkaya İlker İnam Meltem Senadim
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More <i>q</i> -analogs of congruences involving Catalan numbers 2025-04-25 Roberto Tauraso
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Chromatic polynomial and the $\mathfrak{so}$ weight system 2025-04-25 S. K. Lando Zhuoke Yang
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Frobenius numbers associated with Diophantine triples of $$x^2+3 y^2=z^3$$ 2025-04-25 Takao Komatsu Tapas Chatterjee
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Strange and pseudo-differentiable functions with applications to prime partitions 2025-04-26 A. Dong Nicolas Robles Alexandru Zaharescu Dirk Zeindler
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ON SOME PROPERTIES OF PRODUCT OF FIBONACCI AND LUCAS NUMBERS 2025-04-25 Yashwant K. Panwar Minal Gwala Ronak Goyal
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Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions 2025-04-28 Atul Dixit Sumukha Sathyanarayana N. Guru Sharan
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Analytic Aspects of the Generalized Second-Order Central Trinomial Coefficients 2025-04-27 Yu-Yang Zhang Hao Pan Lei Chen
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Trig Functions and Complex Numbers 2025-04-27
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Monotonicity of some sequences related to the counting by maximum primitive 2025-04-29 Neeraj Kumar
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On Sylvester’s denumerants 2025-04-29 Eteri Samsonadze
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A general formula for Hecke-type false theta functions 2025-04-29 Eric T. Mortenson
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Quantum-Consistent Adelic Integration and Structure of Egyptian Fractions 2025-04-29 J. Bel
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Algebraic Characterizations and Properties of Bivariate 2D q$$ q $$‐Hermite–Based Appell Sequences 2025-05-01 Mohra Zayed Shahid Ahmad Wani Taghreed Alqurashi Subuhi Khan
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Dissections of lacunary eta quotients and identically vanishing coefficients 2025-05-01 Tim Huber James Mc Laughlin Dongxi Ye
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The Relationship of Borel Distribution and Horadam Polynomials Leads to Analytical Bi-Univalent Functions 2025-05-01 Omar Alnajar Omar Khabour Ala Amourah Maslina Darus
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Certain Subclass of Multivalently Bazilevič and Non-Bazilevič Functions Involving the Lemniscate of Bernoulli 2025-05-01 T. M. Seoudy Amnah E. Shammaky
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Probabilistic Poly Degenerate r-Stirling Numbers of the Second Kind and r-Bell Polynomials 2025-05-01 S. H. Lee
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An In-Depth Investigation of the Riemann Zeta Function Using Infinite Numbers 2025-04-30 Emmanuel Thalassinakis
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On several irrationality problems for Ahmes series 2025-05-01 Vjekoslav Kovač Terence Tao
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Comparing Two Distribution Models of Paul’s Literary Techniques: Poisson Versus Negative Binomial 2025-04-28 Thomas McCauley Paul Robertson
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On alternative definition of Lucas atoms and their p-adic valuations 2025-05-02 Gessica Alecci Piotr Miska Nadir Murru Giuliano Romeo
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A note on the density of zeros of partial sums of the Dirichlet lambda, beta and eta functions 2025-05-02 Eric Dubon
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Toward Qin’s conjecture on Hilbert schemes of points and quasi-modular forms 2025-05-03 Mazen M. Alhwaimel
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Combinatorial invariance for Kazhdan–Lusztig R-polynomials of elementary intervals 2025-05-03 Grant T. Barkley Christian Gaetz
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Coloured shuffle compatibility, Hadamard products, and ask zeta functions 2025-05-05 Angela Carnevale Vassilis Dionyssis Moustakas Tobias Rossmann
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Ratios of consecutive values of the divisor function 2025-04-27 Sean Eberhard
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Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms 2025-05-01 Charng Rang Guo
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Rational deformations of the set of multiple zeta-star values 2025-05-01 Jiangtao Li
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The irrationality of an infinite series involving ω(n) under a prime tuples conjecture 2025-05-01 Kyle Pratt
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Class Numbers, Congruent Numbers and Umbral Moonshine 2025-05-01 Miranda C. N. Cheng John F. R. Duncan Michael H. Mertens
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Maesaka–Seki–Watanabe's formula for multiple harmonic q-sums 2025-05-01 Yuto Tsuruta
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Hook length biases for self-conjugate partitions and partitions with distinct odd parts 2025-05-01 Catherine Cossaboom
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New congruences modulo powers of 2 for certain t-regular partitions 2025-05-06 Wu Jie Doris D. M. Sang Olivia X. M. Yao
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A New q-Supercongruence Modulo the Fourth Power of a Cyclotomic Polynomial 2025-05-06 Dandan Chen Qingquan Deng
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Pentagonal number recurrence relations for p(n) 2025-05-06 Kevin Gomez Ken Ono Hasan Saad Ajit Singh
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Mathematical Properties and Interactions of Catalan Numbers and Symmetry Groups 2025-05-06 Xiangying Li
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Closed Formula for the Number of Parts Great Spheres Divide an N-Sphere 2025-05-06 W.Q. Li
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Counting Boolean intervals in the weak Bruhat order of a finite Coxeter group 2025-05-06
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Period function of Maass forms from Ramanujan's lost notebook 2025-05-06 YoungJu Choie Rahul Kumar
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Measures associated with certain ellipsephic series and the allouche-hu-morin limit theorem 2025-05-07 Jean-François Burnol
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Chebyshev polynomials boost the π-series convergence 2025-05-07 Sungwoong Cho Daekyoung Kang U-Rae Kim Jungil Lee Jiawei Zhu
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A REMARK ON GENERALISED CUBIC PARTITIONS MODULO $5$ 2025-05-07 Russelle Guadalupe
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Correction: Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series 2025-05-07 Howard S. Cohl Hans Volkmer
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Sum of the Epstein zeta function over the Riemann zeta function zeros 2025-05-08 Ramūnas Garunkštis Tomas Kondratavičius Jokūbas Putrius
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Proof of Some Conjectural Congruences Involving Binomial Coefficients and Apéry-like Numbers 2025-05-05 Guo-Shuai Mao
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Certain new formulas for bibasic Humbert hypergeometric functions $$\Psi _{1}$$ and $$\Psi _{2}$$ 2025-05-10 Ayman Shehata