João Guerreiro

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20132017

most citedTraces, high powers and one level density for families of curves over finite fields

15 citations · 37 across the 6 of their papers we have counts for

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math.NT2017★ 2 cited

An explicit inversion formula for the $p$ -adic Whittaker transform on $GL_{n} (Q_{p})$

João Guerreiro

Whittaker functions on non-archimedean fields were first introduced in the work of Jacquet, and they were characterized explicitly by Shintani. We obtain an explicit inversion form…

math.NT2017★ 13 cited

Mean square in the prime geodesic theorem

Giacomo Cherubini, João Guerreiro

We prove upper bounds for the mean square of the remainder in the prime geodesic theorem, for every cofinite Fuchsian group, which improve on average on the best known pointwise bo…

An explicit inversion formula for the p-adic Whittaker transform on GLn​(Qp​)

Mean square in the prime geodesic theorem

An explicit inversion formula for the $p$ -adic Whittaker transform on $GL_{n} (Q_{p})$