61 citations · 272 across the 16 of their papers we have counts for
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math.NT2017★ 6 cited
Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field
Ian Petrow
We give an upper bound for the trace of a Hecke operator acting on the space of holomorphic cusp forms with respect to certain congruence subgroups. Such an estimate has applicatio…
math.CA2017★ 42 cited
Oscillatory integrals with uniformity in parameters
Eren Mehmet Kiral, Ian Petrow, Matthew P. Young
We prove a sharp asymptotic formula for certain oscillatory integrals that may be approached using the stationary phase method. The estimates are uniform in terms of auxiliary para…