Kyle Pratt

activity

20142022

most citedCoefficient Bounds for Level 2 Cusp Forms and Modular Functions

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2016

A lower bound for the least prime in an arithmetic progression

Junxian Li, Kyle Pratt, George Shakan

Fix $k$ a positive integer, and let $ℓ$ be coprime to $k$ . Let $p (k, ℓ)$ denote the smallest prime equivalent to $ℓ (mod k)$ , and set $P (k)$ to be the maximum of all the $…

math.NT2014★ 1 cited

Coefficient Bounds for Level 2 Cusp Forms and Modular Functions

Paul Jenkins, Kyle Pratt

We give explicit upper bounds for the coefficients of arbitrary weight $k$ , level 2 cusp forms, making Deligne's well-known $O (n^{\frac{k - 1}{2} + ε})$ bound precise. We also derive a…