60 citations · 131 across the 21 of their papers we have counts for
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Computing isolated coefficients of the -function
Fredrik Johansson
We consider the problem of efficiently computing isolated coefficients in the Fourier series of the elliptic modular function . We show that a hybrid numerical-modular…
On a fast and nearly division-free algorithm for the characteristic polynomial
Fredrik Johansson
We review the Preparata-Sarwate algorithm, a simple method for computing the characteristic polynomial, determinant and adjugate of an matrix using only r…
Calcium: computing in exact real and complex fields
Fredrik Johansson
Calcium is a C library for real and complex numbers in a form suitable for exact algebraic and symbolic computation. Numbers are represented as elements of fields $\mathbb{Q}(a_1,\…
FunGrim: a symbolic library for special functions
Fredrik Johansson
We present the Mathematical Functions Grimoire (FunGrim), a website and database of formulas and theorems for special functions. We also discuss the symbolic computation library us…