Addition formulae for Abelian functions associated with specialized curves
Copyright policy )Addition formulae for Abelian functions associated with specialized curves
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.
- University of Yamanashi Japan
- Heriot-Watt University United Kingdom
Special algebraic curves and curves of low genus, abelian functions, Weierstrass functions, Riemann surfaces; Weierstrass points; gap sequences, Nonlinear Dynamics, Theta functions and curves; Schottky problem, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Quantum Theory, addition formulae, Relationships between algebraic curves and integrable systems, sigma functions
Special algebraic curves and curves of low genus, abelian functions, Weierstrass functions, Riemann surfaces; Weierstrass points; gap sequences, Nonlinear Dynamics, Theta functions and curves; Schottky problem, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Quantum Theory, addition formulae, Relationships between algebraic curves and integrable systems, sigma functions
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).6 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!