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 publicationAIP Conference Proceedings
Pages73-86
Number of pages14
Volume1385
DOIs
Publication statusPublished - 2011
EventDiophantine Analysis and Related Fields 2011, DARF - 2011 - Musashino, Tokyo, Japan
Duration: 2011 Mar 32011 Mar 5

Other

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

Fingerprint

half planes

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 AIP Conference Proceedings (Vol. 1385, pp. 73-86) https://doi.org/10.1063/1.3630042

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

AIP Conference Proceedings. Vol. 1385 2011. p. 73-86.

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

Katsurada, M & Noda, T 2011, On generalized Lipschitz-type formulae and applications II. in AIP Conference Proceedings. vol. 1385, pp. 73-86, Diophantine Analysis and Related Fields 2011, DARF - 2011, Musashino, Tokyo, Japan, 11/3/3. https://doi.org/10.1063/1.3630042
Katsurada M, Noda T. On generalized Lipschitz-type formulae and applications II. In AIP Conference Proceedings. Vol. 1385. 2011. p. 73-86 https://doi.org/10.1063/1.3630042
Katsurada, Masanori ; Noda, Takumi. / On generalized Lipschitz-type formulae and applications II. AIP Conference Proceedings. Vol. 1385 2011. pp. 73-86
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