On generalized Lipschitz-type formulae and applications

Masanori Katsurada, Takumi Noda

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

2 Citations (Scopus)


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
Number of pages10
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
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


OtherDiophantine Analysis and Related Fields 2010, DARF 2010
CityMusashino, Tokyo


  • Eisenstein series
  • Lipschitz formula
  • Mellin-Barnes formula

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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