Journal of Nonlinear Mathematical Physics

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Volume 25, Issue 1, February 2018, Pages 86 - 105

Rosenhain-Thomae formulae for higher genera hyperelliptic curves

Authors
Keno Eilers
Faculty of Mathematics, University of Oldenburg, Carl-von-Ossietzky-Str. 9-11, 26129 Oldenburg, Germany,keno.eilers@uni-oldenburg.de
Received 2 August 2017, Accepted 7 September 2017, Available Online 6 January 2021.
DOI
10.1080/14029251.2018.1440744How to use a DOI?
Keywords
Theta Functions; Rosenhain formula; Thomae Formula
Abstract

Rosenhain's famous formula expresses the periods of first kind integrals of genus two hyperelliptic curves in terms of θ-constants. In this paper we generalize the Rosenhain formula to higher genera hyperelliptic curves by means of the second Thomae formula for derivative non-singular θ-constants.

Copyright
© 2018 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 1
Pages
86 - 105
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2018.1440744How to use a DOI?
Copyright
© 2018 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Keno Eilers
PY  - 2021
DA  - 2021/01/06
TI  - Rosenhain-Thomae formulae for higher genera hyperelliptic curves
JO  - Journal of Nonlinear Mathematical Physics
SP  - 86
EP  - 105
VL  - 25
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2018.1440744
DO  - 10.1080/14029251.2018.1440744
ID  - Eilers2021
ER  -