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math.NT2019
Bykovskii-type theorem for the Picard manifold
Antal Balog, András Biró, Giacomo Cherubini +1
We generalise a result of Bykovskii to the Gaussian integers and prove an asymptotic formula for the prime geodesic theorem in short intervals on the Picard manifold. Previous work…
math.NT2019★ 5 cited
On Kuznetsov-Bykovskii's formula of counting prime geodesics
Giacomo Cherubini, Han Wu, Gergely Zábrádi
We generalize a formula on the counting of prime geodesics, due to Kuznetsov-Bykovskii, used in the work of Soundararajan-Young on the prime geodesic theorem. The method works over…