A direct evaluation of the periods of the Weierstrass zeta function

Shaul Zemel

doi:10.1007/s11565-013-0186-8

A direct evaluation of the periods of the Weierstrass zeta function

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	495-505
Number of pages	11
Journal	Annali dell'Universita di Ferrara
Volume	60
Issue number	2
DOIs	https://doi.org/10.1007/s11565-013-0186-8
State	Published - Nov 2014
Externally published	Yes

Keywords

Elliptic functions
Quasi-modular Eisenstein series
Weierstrass zeta function

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11565-013-0186-8

Cite this

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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.",

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AB - 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.

KW - Elliptic functions

KW - Quasi-modular Eisenstein series

KW - Weierstrass zeta function

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DO - 10.1007/s11565-013-0186-8

M3 - مقالة

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VL - 60

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JO - Annali dell'Universita di Ferrara

JF - Annali dell'Universita di Ferrara

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ER -

A direct evaluation of the periods of the Weierstrass zeta function

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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