SU\G(𝔸)/K·U

Takumi Noda

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All published works
Action Title Year Authors
+ Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for $$\zeta (2k+1)$$, Weierstraß’ elliptic and allied functions 2024 Masanori Katsurada
Takumi Noda
+ PDF Chat The exponential-type generating function of the Riemann zeta-function revisited 2022 Takumi Noda
+ PDF Chat Some generating functions of the Riemann zeta function 2019 Takumi Noda
+ ASYMPTOTIC EXPANSIONS FOR A CLASS OF GENERALIZED HOLOMORPHIC EISENSTEIN SERIES : APPLICATIONS TO WEIERSTRASS' ELLIPTIC FUNCTION AND RAMANUJAN'S FORMULA FOR $zeta (2k+1)$ (Analytic Number Theory and Related Areas) 2018 Masanori Katsurada
Takumi Noda
+ Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables 2017 Masanori Katsurada
Takumi Noda
+ TRANSFORMATION FORMULAE AND ASYMPTOTIC EXPANSIONS FOR DOUBLE HOLOMORPHIC EISENSTEIN SERIES OF TWO COMPLEX VARIABLES (SUMMARIZED VERSION) (Analytic Number Theory : Distribution and Approximation of Arithmetic Objects) 2016 Masanori Katsurada
Takumi Noda
+ PDF Chat On the functional properties of Bessel zeta-functions 2015 Takumi Noda
+ On the functional properties of the confluent hypergeometric zeta-function 2014 Takumi Noda
+ A transformation formula for a certain Eisenstein series in aerodynamic interference calculations 2013 Takumi Noda
+ Calculation of Fourth-Order Tensor Product Expansion by Power Method and Comparison of it with Higher-Order Singular Value Decomposition 2013 Akio Ishida
Takumi Noda
Jun Murakami
Naoki Yamamoto
Chiharu Okuma
+ A transformation formula for Maass-type Eisenstein series of two variables (Analytic Number Theory : related Multiple aspects of Arithmetic Functions) 2012 Takumi Noda
+ On generalized Lipschitz-type formulae and applications II 2011 Masanori Katsurada
Takumi Noda
Masaaki Amou
Masanori Katsurada
+ On Generalized Lipschitz-type Formulae and Applications 2010 Masanori Katsurada
Takumi Noda
+ ACTIONS OF MAASS' OPERATORS ON THE ASYMPTOTIC EXPANSIONS OF NON-HOLOMORPHIC EISENSTEIN SERIES (Analytic Number Theory and Related Areas) 2009 Masanori Katusrada
Takumi Noda
+ DIFFERENTIAL ACTIONS ON THE ASYMPTOTIC EXPANSIONS OF NON-HOLOMORPHIC EISENSTEIN SERIES 2009 Masanori Katsurada
Takumi Noda
+ Some asymptotic expansions of the Eisenstein series (Automorphic representations, automorphic $L$-functions and arithmetic) 2009 Takumi Noda
+ PDF Chat An explicit formula for the zeros of the Rankin-Selberg L-function via the projection of C∞-modular forms 2008 Takumi Noda
+ PDF Chat A note on the non-holomorphic Eisenstein series 2007 Takumi Noda
+ Asymptotic expansions of the non-holomorphic Eisenstein series II(Analytic Number Theory) 2006 Takumi Noda
+ Asymptotic expansions of the non-holomorphic Eisenstein series (Diophantine Problems and Analytic Number Theory) 2003 Takumi Noda
+ PDF Chat On the zeros of symmetric square $L$-functions 1999 Takumi Noda
+ PDF Chat On the Goldbach problem in algebraic number fields and the positivity of the singular integral 1997 Takumi Noda
+ PDF Chat An application of the projections of $C^{∞}$ automorphic forms 1995 Takumi Noda
+ ON THE POSITIVITY OF THE SINGULAR INTEGRAL(Analytic Number Theory) 1994 Takumi Noda
Common Coauthors
Coauthor Papers Together
Masanori Katsurada 7
Akio Ishida 1
Masanori Katusrada 1
Masaaki Amou 1
Jun Murakami 1
Naoki Yamamoto 1
Chiharu Okuma 1
Takao Komatsu 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Complete asymptotic expansions associated with Epstein zeta-functions 2007 Masanori Katsurada
 5
+ The critical values of zeta functions associated to the symplectic group 1981 Jacob Sturm
 4
+ Confluent Hypergeometric Functions 2008 L. J. Slater
 3
+ On the functional properties of the confluent hypergeometric zeta-function 2014 Takumi Noda
 3
+ PDF Chat An application of the projections of $C^{∞}$ automorphic forms 1995 Takumi Noda
 3
+ PDF Chat Power series with the Riemann zeta-function in the coefficients 1996 Masanori Katsurada
 3
+ PDF Chat On the structure of the Selberg class, I: 0≤d≤1 1999 Jerzy Kaczorowski
Alberto Perelli
 3
+ PDF Chat On the structure of the Selberg class, VI: non-linear twists 2005 Jerzy Kaczorowski
Alberto Perelli
 3
+ A Treatise on the Theory of Bessel Functions. 1923 Matthew Porter
G. N. Watson
 3
+ PDF Chat Zeta and q-Zeta Functions and Associated Series and Integrals 2012 H. M. Srivastava
June-Sang Choi
 3
+ DIFFERENTIAL ACTIONS ON THE ASYMPTOTIC EXPANSIONS OF NON-HOLOMORPHIC EISENSTEIN SERIES 2009 Masanori Katsurada
Takumi Noda
 3
+ PDF Chat ON THE GENERALIZED TWO VARIABLE EISENSTEIN SERIES 2014 Sung-Geun Lim
 3
+ A Course of Modern Analysis 1996 E. T. Whittaker
G. N. Watson
 3
+ Lectures on Modular Functions of One Complex Variable 1983 Hans Maaß
 3
+ PDF Chat On the functional properties of Bessel zeta-functions 2015 Takumi Noda
 3
+ PDF Chat Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series 2003 Kohji Matsumoto
 3
+ PDF Chat Twists and resonance of $L$-functions, I 2016 Jerzy Kaczorowski
Alberto Perelli
 2
+ The Riemann Zeta-Function 1992 A. A. Karatsuba
Сергей Воронин
 2
+ Advanced analytic number theory 1980 Carl Ludwig Siegel
 2
+ PDF Chat Analytic continuation of Eisenstein series 1972 Joseph Lewittes
 2
+ Number Theory in the Spirit of Ramanujan 2006 Bruce C. Berndt
 2
+ PDF Chat On the zeros of symmetric square $L$-functions 1999 Takumi Noda
 2
+ Ramanujan’s Notebooks 1989 Bruce C. Berndt
 2
+ PDF Chat Generalized Dedekind eta-functions and generalized Dedekind sums 1973 Bruce C. Berndt
 2
+ Modular Forms and Functions 1977 R. A. Rankin
 2
+ Extended Riemann Bessel functions 2005 M.T. Boudjelkha
 2
+ On Mellin-barnes Type of Integrals and Sumsassociated With the Riemann Zeta-function} 1997 Masanori Katsurada
 2
+ PDF Chat A note on the non-holomorphic Eisenstein series 2007 Takumi Noda
 2
+ Complete asymptotic expansions associated with Epstein zeta-functions II 2014 Masanori Katsurada
 2
+ PDF Chat On Eisenstein series with characters and the values of Dirichlet L-functions 1975 Bruce C. Berndt
 2
+ PDF Chat Elementary Dirichlet series and modular forms 2008 2
+ Ramanujan’s theory of theta-functions 1993 Bruce C. Berndt
 2
+ Functional equations and functional relations for the Euler double zeta-function and its generalization of Eisenstein type 2010 Yasushi Komori
Kohji Matsumoto
Hirofumi Tsumura
 2
+ A Note on Bessel Twists of L-Functions 2015 Jerzy Kaczorowski
Alberto Perelli
 2
+ The Theory of the Riemann Zeta-Function 1987 E. C. Titchmarsh
D. R. Heath‐Brown
 2
+ On the Holomorphy of Certain Dirichlet Series 1975 Goro Shimura
 2
+ PDF Chat Analytic continuation of the series $\sum \,(m+nz)\sp{-s}$ 1971 Joseph Lewittes
 2
+ Development of Elliptic Functions According to Ramanujan 2011 K. Venkatachaliengar
S. Barry Cooper
 2
+ Table of Integrals, Series, and Products 1980 2
+ PDF Chat Modular transformations and generalizations of several formulae of Ramanujan 1977 Bruce C. Berndt
 1
+ Automorphic forms and representations 1997 Daniel Bump
 1
+ Eisenstein Series and the Riemann Zeta-Function 1981 Don Zagier
 1
+ An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions 1997 Masanori Katsurada
 1
+ Erweiterter Goldbach-Vinogradovscher Satz in beliebigen algebraischen Zahlkörpern 1961 Otto Körner
 1
+ �ber die Fourierkoeffizienten der Siegelschen Eisensteinreihen 1984 Siegfried B�cherer
 1
+ Character analogues of the poisson and Euler-MacLaurin summation formulas with applications 1975 Bruce C. Berndt
 1
+ PDF Chat Dirichlet series in the theory of Siegel modular forms 1984 Yoshiyuki Kitaoka
 1
+ PDF Chat Generalized Prime Number Theorem 1956 Takayoshi Mitsui
 1
+ Confluent hypergeometric functions on tube domains 1982 Goro Shimura
 1
+ Zur additiven Primzahltheorie algebraischer Zahlkörper 1961 Otto Körner
 1