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20082022
most citedNemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language

60 citations · 131 across the 21 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

cs.MS2016

Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic

Fredrik Johansson

Arb is a C library for arbitrary-precision interval arithmetic using the midpoint-radius representation, also known as ball arithmetic. It supports real and complex numbers, polyno…

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…

cs.MS2016

Computing hypergeometric functions rigorously

Fredrik Johansson

We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions , , and (or the K…