P. Jenkins

activity

20092020

most citedBounds for coefficients of cusp forms and extremal lattices

15 citations · 34 across the 14 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

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…

math.NT2014

Congruences for coefficients of modular functions

Paul Jenkins, DJ Thornton

We examine canonical bases for weakly holomorphic modular forms of weight $0$ and level $p = 2, 3, 5, 7, 13$ with poles only at the cusp at $\infty$ . We show that many of the Fouri…