Computing Theta Functions with Julia
arXiv:1906.06507 · doi:10.2140/jsag.2021.11.41
Abstract
We present a new package Theta.jl for computing with 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 five.
arXiv commentv2: to appear in the Journal of Software for Algebra and Geometry. Content reorganized according to the published version
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