The prime geodesic theorem in square mean

JOURNAL OF NUMBER THEORY

卷:198

Article

Balog, Antal^1,2  Biro, Andras^1,2  Harcos, Gergely^1,2,3  Maga, Peter^1,2 

[1] Hungarian Acad Sci, Alfred Renyi Inst Math, POB 127, H-1364 Budapest, Hungary

[2] MTA Renyi Int Lendulet Automorph Res Grp, Budapest, Hungary

[3] Cent European Univ, Nador U 9, H-1051 Budapest, Hungary

关键词: Prime geodesic theorem;    Spectral exponential sums;   

DOI  :  10.1016/j.jnt.2018.10.012

来源: Elsevier

【 摘 要 】

We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for PSL2(Z). We also develop a short interval version of this result. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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