swMATH ID: 41770
Software Authors: Agostini, Daniele; Chua, Lynn
Description: Computing theta functions with Julia. We present a new package Theta.jl for computing the Riemann theta function. It is implemented in Julia and offers accurate numerical evaluation of theta functions with characteristics and their derivatives of arbitrary order. Our package is optimized for multiple evaluations of theta functions for the same Riemann matrix, in small dimensions. As an application, we report on experimental approaches to the Schottky problem in genus 5
Homepage: https://arxiv.org/abs/1906.06507
Source Code:  https://github.com/chualynn/Theta.jl
Dependencies: Julia
Keywords: theta function; numerical; abelian varieties; Riemann surfaces; Schottky problem; Jacobian
Related Software: SageMath; Julia; RiemannSurface; Matlab; Macaulay2; quartic_reconstruction
Cited in: 4 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Computing theta functions with Julia. Zbl 1483.14002
Agostini, Daniele; Chua, Lynn

Citations by Year