3 papers
cs.MS2019
Computing Theta Functions with Julia
Daniele Agostini, Lynn Chua
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 charact…
math.AG2019
On the Schottky problem for genus five Jacobians with a vanishing theta null
Daniele Agostini, Lynn Chua
We give a solution to the weak Schottky problem for genus five Jacobians with a vanishing theta null, answering a question of Grushevsky and Salvati Manni. More precisely, we show…
math.NT2018
On cycles of pairing-friendly elliptic curves
Alessandro Chiesa, Lynn Chua, Matthew Weidner
A cycle of elliptic curves is a list of elliptic curves over finite fields such that the number of points on one curve is equal to the size of the field of definition of the next,…