Rosenhain-Thomae formulae for higher genera hyperelliptic curves |
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| Authors: | Keno Eilers |
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| Affiliation: | Faculty of Mathematics, University of Oldenburg, Carl-von-Ossietzky-Str. 9-11, 26129 Oldenburg, Germany |
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| 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. |
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| Keywords: | Theta Functions Rosenhain formula Thomae Formula |
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