Ali Hamieh

activity

20132023

most citedSpecial Values of Anticyclotomic L-functions Modulo λ

2 citations · 2 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.NT2023

Large Sums of Fourier Coefficients of Cusp Forms

Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh +1

Let $N$ be a fixed positive integer, and let $f \in S_{k} (N)$ be a primitive cusp form given by the Fourier expansion $f (z) = \sum_{n = 1}^{\infty} λ_{f} (n) n^{\frac{k - 1}{2}} e (n z)$ . We consi…

math.NT2023

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…