• 211 Citations
  • 10 h-Index
1988 …2017
If you made any changes in Pure these will be visible here soon.

Research Output 1988 2017

  • 211 Citations
  • 10 h-Index
  • 23 Article
  • 4 Conference contribution
Filter
Article
2017

Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables

Katsurada, M. & Noda, T., 2017 Jul 31, (Accepted/In press) In : Ramanujan Journal. p. 1-44 44 p.

Research output: Contribution to journalArticle

Transformation Formula
Eisenstein Series
Complex Variables
Asymptotic Expansion
Theorem
2015
1 Citation (Scopus)

Complete asymptotic expansions associated with Epstein zeta-functions II

Katsurada, M., 2015, In : Ramanujan Journal. 36, 3, p. 403-437 35 p.

Research output: Contribution to journalArticle

Riemann zeta function
Asymptotic Expansion
Meromorphic
Continuation
Transform
2012
5 Citations (Scopus)
Lerch zeta-function
Q-integral
Mellin Transform
Asymptotic Expansion
2009
4 Citations (Scopus)

Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series

Katsurada, M. & Noda, T., 2009, In : International Journal of Number Theory. 5, 6, p. 1061-1088 28 p.

Research output: Contribution to journalArticle

Eisenstein Series
Asymptotic Expansion
Corollary
Theorem
Half-plane
2007
7 Citations (Scopus)

Complete asymptotic expansions associated with Epstein zeta-functions

Katsurada, M., 2007 Oct, In : Ramanujan Journal. 14, 2, p. 249-275 27 p.

Research output: Contribution to journalArticle

Riemann zeta function
Asymptotic Expansion
Proposition
Mellin-Barnes Integrals
Integral Transformation
2004
1 Citation (Scopus)

Irrationality results for values of generalized Tschakaloff series II

Amou, M. & Katsurada, M., 2004 Jan, In : Journal of Number Theory. 104, 1, p. 132-155 24 p.

Research output: Contribution to journalArticle

Irrationality
Series
Theorem
Transcendence
Linear independence
2003
8 Citations (Scopus)
Lerch zeta-function
Rogers-Ramanujan Identities
Hurwitz zeta Function
Theta Series
Q-series
2002
1 Citation (Scopus)

Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions: III

Katsurada, M. & Matsumoto, K., 2002, In : Compositio Mathematica. 131, 3, p. 239-266 28 p.

Research output: Contribution to journalArticle

Hurwitz zeta Function
Mean Square
Asymptotic Expansion
Explicit Formula
Theorem
2001
9 Citations (Scopus)

Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré

Amou, M., Katsurada, M. & Väänänen, K., 2001, In : Acta Arithmetica. 99, 4, p. 389-407 19 p.

Research output: Contribution to journalArticle

Irrationality Measure
Q-difference Equations
Irrationality
Padé Approximation
Functional equation
1 Citation (Scopus)

Differential transcendence of a class of generalized Dirichlet series

Amou, M. & Katsurada, M., 2001 Sep, In : Illinois Journal of Mathematics. 45, 3, p. 939-948 10 p.

Research output: Contribution to journalArticle

Transcendence
Dirichlet Series
Algebraic Differential Equations
Riemann zeta function
Imply
13 Citations (Scopus)

On an asymptotic formula of Ramanujan for a certain theta-type series

Katsurada, M., 2001, In : Acta Arithmetica. 97, 2, p. 157-172 16 p.

Research output: Contribution to journalArticle

Lerch zeta-function
Hurwitz zeta Function
Theta Series
Mellin Transform
Ramanujan
2000
28 Citations (Scopus)

On the Hurwitz-Lerch zeta-function

Kanemitsu, S., Katsurada, M. & Yoshimoto, M., 2000, In : Aequationes Mathematicae. 59, 1-2, p. 1-19 19 p.

Research output: Contribution to journalArticle

Hurwitz-Lerch Zeta Function
Theorem
Hurwitz zeta Function
Uniformization
Power Series Expansion
1999
2 Citations (Scopus)

Irrationality Results for Values of Generalized Tschakaloff Series

Amou, M. & Katsurada, M., 1999 Jul, In : Journal of Number Theory. 77, 1, p. 155-169 15 p.

Research output: Contribution to journalArticle

Irrationality
Transcendence
Series
Rational Points
Corollary
16 Citations (Scopus)

Rapidly convergent series representations for ζ(2n + 1) and their χ-analogue

Katsurada, M., 1999, In : Acta Arithmetica. 90, 1, p. 79-89 11 p.

Research output: Contribution to journalArticle

Mellin-Barnes Integrals
Dirichlet L-function
Series Representation
Riemann zeta function
Analogue
1998
8 Citations (Scopus)
Mean Square
Dirichlet L-function
Integral Formula
Theorem
Asymptotic Expansion
19 Citations (Scopus)
Mellin-Barnes Integrals
Lerch zeta-function
Hurwitz zeta Function
Asymptotic series
Power series
1996
12 Citations (Scopus)

Explicit formulas and asymptotic expansions for certain mean square of Hurwitz Zeta-Functions I

Katsurada, M. & Matsumoto, K., 1996, In : Mathematica Scandinavica. 78, 2, p. 161-177 17 p.

Research output: Contribution to journalArticle

Hurwitz zeta Function
Mean Square
Asymptotic Expansion
Explicit Formula
14 Citations (Scopus)
Power series
Riemann zeta function
Coefficient
1994
4 Citations (Scopus)

Asymptotic expansions of the mean values of Dirichlet L-functions III

Katsurada, M., 1994 Dec, In : Manuscripta Mathematica. 83, 1, p. 425-442 18 p.

Research output: Contribution to journalArticle

Dirichlet L-function
Mean Value
Asymptotic Expansion
Lemma
Exponential Integral
14 Citations (Scopus)

The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields

Katsurada, M. & Matsumoto, K., 1994, In : Nagoya Mathematical Journal. 134, p. 151-172 22 p.

Research output: Contribution to journalArticle

Dirichlet L-function
Cyclotomic Fields
Integer Points
Class number
Mean Value
1991
20 Citations (Scopus)

Asymptotic expansions of the mean values of Dirichlet L-functions

Katsurada, M. & Matsumoto, K., 1991 Dec, In : Mathematische Zeitschrift. 208, 1, p. 23-39 17 p.

Research output: Contribution to journalArticle

Dirichlet L-function
Mean Value
Asymptotic Expansion
1989
10 Citations (Scopus)

Linear independence measures for values of Heine series

Katsurada, M., 1989 Sep, In : Mathematische Annalen. 284, 3, p. 449-460 12 p.

Research output: Contribution to journalArticle

Linear independence
Series
1988
10 Citations (Scopus)

Linear Independence Measures for Certain Numbers

Katsurada, M., 1988, In : Results in Mathematics. 14, 3, p. 318-329 12 p.

Research output: Contribution to journalArticle

Linear independence