arith_euler_polynomial
Synopsis
#include <flint/arith.h>void arith_euler_polynomial(fmpq_poly_t poly, ulong n)sourceSets poly to the Euler polynomial E_n(x), using
E_n(x) = \frac{2}{n+1}\left(B_{n+1}(x) -
2^{n+1}B_{n+1}\left(\frac{x}{2}\right)\right)
with B_{n+1}(x) computed once by arith_bernoulli_polynomial and rescaled.
Cite this page
The FLINT team, “arith_euler_polynomial (arith.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arith/arith_euler_polynomial.html (generated 2026-10-20).
@misc{flint-doc-arith-arith-euler-polynomial,
author = {{The FLINT team}},
title = {{arith\_euler\_polynomial (arith.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arith/arith_euler_polynomial.html},
note = {Generated 2026-10-20}
}