#character sums
4 papers · 1 filter
Primitive Quadratic Polynomials in Additive Coset Families
Juncheng Zhou, Hongfeng Wu
The paper proves the Gow–McGuire conjecture on primitive quadratic polynomials over finite fields for all odd prime powers greater than 204,931, using character-sum estimates, refi…
Ryser, Glynn, and the discrete Fourier transform: orthogonal schemes for the permanent
José A. R. Fonollosa
The paper unifies Ryser’s and Glynn’s classic permanent formulas and a discrete Fourier transform method under a single evaluation‑scheme framework with an orthogonality condition,…
Exact Frequencies of Consecutive Quadratic Residue and Nonresidue Patterns Modulo a Prime
Brahim Mittou
The paper derives exact formulas for how often consecutive quadratic residue and non‑residue patterns of length two and three occur modulo an odd prime, showing dependence on the p…
Large sieve inequality for sums of Legendre symbols over short intervals
Marc Munsch, Igor Shparlinski, Yu-Chen Sun +1
The paper establishes a nontrivial upper bound for the second moment of sums of Legendre symbols over short intervals using the Burgess bound and Selberg sieve, showing that for mo…