A generalization of Rosenhain's normal form for hyperelliptic curves with an application

@inproceedings{Takase1996AGO,
  title={A generalization of Rosenhain's normal form for hyperelliptic curves with an application},
  author={Koichi Y. Takase},
  year={1996}
}
  • K. Takase
  • Published 1 September 1996
  • Mathematics
Periods of hyperelliptic integrals expressed in terms of theta-constants by means of Thomae formulae.
  • V. Enolski, P. Richter
  • Mathematics
    Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
  • 2008
Expressions for the periods of first- and second-kind integrals on hyperelliptic curves are given in terms of theta-constants. They are derived with the help of Thomae's classical formulae and
Periods of hyperelliptic integrals expressed in terms of θ-constants by means of Thomae formulae
  • V. Enolski, P. Richter
  • Mathematics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2007
Expressions for the periods of first- and second-kind integrals on hyperelliptic curves are given in terms of θ-constants. They are derived with the help of Thomae's classical formulae and
Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
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References

SHOWING 1-2 OF 2 REFERENCES
Tata Lectures on Theta I
and motivation: theta functions in one variable.- Basic results on theta functions in several variables.
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