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 publicationAIP Conference Proceedings
Pages129-138
Number of pages10
Volume1264
DOIs
Publication statusPublished - 2010
EventDiophantine Analysis and Related Fields 2010, DARF 2010 - Musashino, Tokyo, Japan
Duration: 2010 Mar 42010 Mar 5

Other

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

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half planes

Keywords

  • Eisenstein series
  • Lipschitz formula
  • Mellin-Barnes formula

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

On generalized Lipschitz-type formulae and applications. / Katsurada, Masanori; Noda, Takumi.

AIP Conference Proceedings. Vol. 1264 2010. p. 129-138.

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

Katsurada, M & Noda, T 2010, On generalized Lipschitz-type formulae and applications. in AIP Conference Proceedings. vol. 1264, pp. 129-138, Diophantine Analysis and Related Fields 2010, DARF 2010, Musashino, Tokyo, Japan, 10/3/4. https://doi.org/10.1063/1.3478173
Katsurada M, Noda T. On generalized Lipschitz-type formulae and applications. In AIP Conference Proceedings. Vol. 1264. 2010. p. 129-138 https://doi.org/10.1063/1.3478173
Katsurada, Masanori ; Noda, Takumi. / On generalized Lipschitz-type formulae and applications. AIP Conference Proceedings. Vol. 1264 2010. pp. 129-138
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