A direct evaluation of the periods of the Weierstrass zeta function

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We show how to obtain the difference function of the Weierstrass zeta function very directly, by choosing an appropriate order of summation in the series defining this function. As a byproduct, we show how to obtain the quasi-modularity of the weight 2 Eisenstein series immediately from the fact that it appears in this difference function and the homogeneity properties of the latter.

Original languageAmerican English
Pages (from-to)495-505
Number of pages11
JournalAnnali dell'Universita di Ferrara
Volume60
Issue number2
DOIs
StatePublished - Nov 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2013, Università degli Studi di Ferrara.

Keywords

  • Elliptic functions
  • Quasi-modular Eisenstein series
  • Weierstrass zeta function

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