On generalized Lipschitz-type formulae and applications II

Masanori Katsurada, Takumi Noda

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

1 Citation (Scopus)

Abstract

The purpose of this paper is to present a certain Lipschitz-type formula and its generalization via Mellin-Barnes type integrals. We introduce a double Eisenstein series defined on the pair of the upper and 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 2011, DARF - 2011
Pages73-86
Number of pages14
DOIs
Publication statusPublished - 2011 Nov 25
EventDiophantine Analysis and Related Fields 2011, DARF - 2011 - Musashino, Tokyo, Japan
Duration: 2011 Mar 32011 Mar 5

Publication series

NameAIP Conference Proceedings
Volume1385
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherDiophantine Analysis and Related Fields 2011, DARF - 2011
CountryJapan
CityMusashino, Tokyo
Period11/3/311/3/5

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Keywords

  • Eisenstein series
  • Lipschitz formula
  • Mellin-Barnes formula

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Katsurada, M., & Noda, T. (2011). On generalized Lipschitz-type formulae and applications II. In Diophantine Analysis and Related Fields 2011, DARF - 2011 (pp. 73-86). (AIP Conference Proceedings; Vol. 1385). https://doi.org/10.1063/1.3630042