Counting (skew-) reciprocal Littlewood polynomials with square discriminant
D Hokken - arXiv preprint arXiv:2301.05656, 2023 - arxiv.org
A Littlewood polynomial is a single-variable polynomial all of whose coefficients lie in $\{\pm
1\} $. We establish the leading term asymptotics of the number of reciprocal or skew …
1\} $. We establish the leading term asymptotics of the number of reciprocal or skew …
Full Galois groups of polynomials with slowly growing coefficients
L Bary-Soroker, N Goldgraber - arXiv preprint arXiv:2404.13559, 2024 - arxiv.org
Choose a polynomial $ f $ uniformly at random from the set of all monic polynomials of
degree $ n $ with integer coefficients in the box $[-L, L]^ n $. The main result of the paper …
degree $ n $ with integer coefficients in the box $[-L, L]^ n $. The main result of the paper …
[PDF][PDF] Enumerative Galois theory for number fields
S Chow, R Dietmann - arXiv preprint arXiv:2304.11991, 2023 - arxiv.org
arXiv:2304.11991v1 [math.NT] 24 Apr 2023 Page 1 arXiv:2304.11991v1 [math.NT] 24 Apr 2023
ENUMERATIVE GALOIS THEORY FOR NUMBER FIELDS SAM CHOW AND RAINER …
ENUMERATIVE GALOIS THEORY FOR NUMBER FIELDS SAM CHOW AND RAINER …