60 citations · 102 across the 4 of their papers we have counts for
4 papers
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language
Claus Fieker, William Hart, Tommy Hofmann +1
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algori…
Short addition sequences for theta functions
Andreas Enge, William Hart, Fredrik Johansson
The main step in numerical evaluation of classical Sl2 (Z) modular forms and elliptic functions is to compute the sum of the first N nonzero terms in the sparse q-series belonging…
Irregular primes to two billion
William Hart, David Harvey, Wilson Ong
We compute all irregular primes less than 2^31 = 2 147 483 648. We verify the Kummer-Vandiver conjecture for each of these primes, and we check that the p-part of the class group o…
Efficient Multiplication of Dense Matrices over GF(2)
Martin Albrecht, Gregory Bard, William Hart
We describe an efficient implementation of a hierarchy of algorithms for multiplication of dense matrices over the field with two elements (GF(2)). In particular we present our imp…