Addition formulae for Abelian functions associated with specialized curves.
نویسندگان
چکیده
We discuss a family of multi-term addition formulae for Weierstrass functions on specialized curves of low genus with many automorphisms, concentrating mostly on the case of genus 1 and 2. In the genus 1 case, we give addition formulae for the equianharmonic and lemniscate cases, and in genus 2 we find some new addition formulae for a number of curves.
منابع مشابه
Some Addition Formulae for Abelian Functions for Elliptic and Hyperelliptic Curves of Cyclotomic Type
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ورودعنوان ژورنال:
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
دوره 369 1939 شماره
صفحات -
تاریخ انتشار 2011