Theta.jl 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 1483.14002Agostini, Daniele; Chua, Lynn 2021 Cited by 5 Authors 4 Agostini, Daniele 2 Çelik, Türkü Özlüm 2 Chua, Lynn 2 Sturmfels, Bernd 1 Struwe, Julia Cited in 4 Serials 1 Nonlinearity 1 Vietnam Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 The Journal of Software for Algebra and Geometry Cited in 5 Fields 4 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Numerical analysis (65-XX) Citations by Year