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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… Click to show full 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.
Keywords:
thomae formulae;
rosenhain thomae;
hyperelliptic curves;
genera hyperelliptic;
higher genera
Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2017
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Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2017
Link to full text (if available)
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recommendations!