quartic characters 2cubic characters 1elliptic curves 1large sieve 1l-functions 1metaplectic theta functions 1non-vanishing 1rankin-selberg 1rank zero 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.NT2026
Non-vanishing for quartic Hecke -functions and ranks of elliptic curves
Cruz Castillo, Alexandre de Faveri, Alexander Dunn
The paper proves that a positive proportion of quartic Hecke L‑functions attached to quartic residue symbols over Gaussian integers do not vanish at the central point, and uses thi…
math.NT2026
Non-orthogonality of the cubic and quartic large sieves via Rankin-Selberg
Alexandre de Faveri, Alexander Dunn, Jeffrey Hoffstein
The paper proves that cubic and quartic large sieve families are not perfectly orthogonal, showing the obstruction comes from bias in Gauss sums and providing analytic bounds via R…
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…