2 papers
math.NT2026
Quartic Gauss sums over primes and metaplectic theta functions
Chantal David, Alexander Dunn, Alia Hamieh +1
We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve ov…
math.NT2025
Towards Keating-Snaith's conjecture for cubic Hecke -functions over the Eisenstein field
Hua Lin, Peng-Jie Wong
A famous conjecture of Keating and Snaith asserts that central values of -functions in a given family admit a log-normal distribution with a prescribed mean and variance dependi…