`arith_sum_of_squares_vec`

Synopsis#include <flint/arith.h>

void arith_sum_of_squares_vec(fmpz * r, ulong k, slong n)source

Sets $r_i$ to $r_k(i)$ for $0 \le i < n$ , the first $n$ coefficients of

\vartheta_3(q)^k = \Bigl(\sum_{j \in \mathbb{Z}} q^{j^2}\Bigr)^k,

computed from the sparse expansions of $\vartheta_3$ and $\vartheta_3^2$ and a truncated power.

Cite this page

The FLINT team, “arith_sum_of_squares_vec (arith.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arith/arith_sum_of_squares_vec.html (generated 2026-11-02).

@misc{flint-doc-arith-arith-sum-of-squares-vec,
  author       = {{The FLINT team}},
  title        = {{arith\_sum\_of\_squares\_vec (arith.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/arith/arith_sum_of_squares_vec.html},
  note         = {Generated 2026-11-02}
}

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