Rosenhain-Thomae formulae for higher genera hyperelliptic curves
- 10.1080/14029251.2018.1440744How to use a DOI?
- Theta Functions; Rosenhain formula; Thomae Formula
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.
- © 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
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 -