Addition formulae for Abelian functions associated with specialized curves-Reference-Cited by-同舟云学术

Addition formulae for Abelian functions associated with specialized curves

Published:2011-03-28 Issue:1939 Volume:369 Page:1245-1263
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Eilbeck J. C.¹,Matsutani S.²,Ônishi Y.³

Affiliation:

1. Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK

2. 8-21-1 Higashi-Linkan, Sagamihara, 228-0811, Japan

3. Faculty of Education and Human Sciences, University of Yamanashi, 4-3-11, Takeda, Kofu 400-8511, Japan

Abstract

We discuss a family of multi-term addition formulae for Weierstrass functions on specialized curves of low genus with many automorphisms, concentrating mostly on the case of genus 1 and 2. In the genus 1 case, we give addition formulae for the equianharmonic and lemniscate cases, and in genus 2 we find some new addition formulae for a number of curves.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2010.0320

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