On generalized Lipschitz-type formulae and applications

Masanori Katsurada, Takumi Noda

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The purpose of this paper is to present a certain Lipschitz-type formula and its generalization via Mellin-Barnes type integrals. We further introduce a class of double Eisenstein series for SL(2,Z) defined on the pair of the upper (or lower) half planes, and show their transformation properties by using the generalized Lipschitz-type formulae.

Original languageEnglish
Title of host publicationDiophantine Analysis and Related Fields 2010, DARF - 2010
Pages129-138
Number of pages10
DOIs
Publication statusPublished - 2010 Aug 26
EventDiophantine Analysis and Related Fields 2010, DARF 2010 - Musashino, Tokyo, Japan
Duration: 2010 Mar 42010 Mar 5

Publication series

NameAIP Conference Proceedings
Volume1264
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherDiophantine Analysis and Related Fields 2010, DARF 2010
CountryJapan
CityMusashino, Tokyo
Period10/3/410/3/5

Keywords

  • Eisenstein series
  • Lipschitz formula
  • Mellin-Barnes formula

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Katsurada, M., & Noda, T. (2010). On generalized Lipschitz-type formulae and applications. In Diophantine Analysis and Related Fields 2010, DARF - 2010 (pp. 129-138). (AIP Conference Proceedings; Vol. 1264). https://doi.org/10.1063/1.3478173