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math.NT2016
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…
math.NT2016★ 1 cited
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…