Prime geodesics and averages of the Zagier L-series

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Standard

Prime geodesics and averages of the Zagier L-series. / Balkanova, O. L.G.A.; Frolenkov, Dmitry; Risager, Morten S.

I: Mathematical Proceedings of the Cambridge Philosophical Society, Bind 172, 2022, s. 705–728.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Balkanova, OLGA, Frolenkov, D & Risager, MS 2022, 'Prime geodesics and averages of the Zagier L-series', Mathematical Proceedings of the Cambridge Philosophical Society, bind 172, s. 705–728. https://doi.org/10.1017/S0305004121000384

APA

Balkanova, O. L. G. A., Frolenkov, D., & Risager, M. S. (2022). Prime geodesics and averages of the Zagier L-series. Mathematical Proceedings of the Cambridge Philosophical Society, 172, 705–728. https://doi.org/10.1017/S0305004121000384

Vancouver

Balkanova OLGA, Frolenkov D, Risager MS. Prime geodesics and averages of the Zagier L-series. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172:705–728. https://doi.org/10.1017/S0305004121000384

Author

Balkanova, O. L.G.A. ; Frolenkov, Dmitry ; Risager, Morten S. / Prime geodesics and averages of the Zagier L-series. I: Mathematical Proceedings of the Cambridge Philosophical Society. 2022 ; Bind 172. s. 705–728.

Bibtex

@article{d0d02d18810c4bccad3f656f7db04103,
title = "Prime geodesics and averages of the Zagier L-series",
abstract = "The Zagier L-series encode data of real quadratic fields. We study the average size of these L-series, and prove asymptotic expansions and omega results for the expansion. We then show how the error term in the asymptotic expansion can be used to obtain error terms in the prime geodesic theorem. ",
keywords = "11F72, 11M36, 11M41, 2020 Mathematics Subject Classification:",
author = "Balkanova, {O. L.G.A.} and Dmitry Frolenkov and Risager, {Morten S.}",
note = "Publisher Copyright: {\textcopyright} The Author(s), 2021. Published by Cambridge University Press on behalf of Cambridge Philosophical Society.",
year = "2022",
doi = "10.1017/S0305004121000384",
language = "English",
volume = "172",
pages = "705–728",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - Prime geodesics and averages of the Zagier L-series

AU - Balkanova, O. L.G.A.

AU - Frolenkov, Dmitry

AU - Risager, Morten S.

N1 - Publisher Copyright: © The Author(s), 2021. Published by Cambridge University Press on behalf of Cambridge Philosophical Society.

PY - 2022

Y1 - 2022

N2 - The Zagier L-series encode data of real quadratic fields. We study the average size of these L-series, and prove asymptotic expansions and omega results for the expansion. We then show how the error term in the asymptotic expansion can be used to obtain error terms in the prime geodesic theorem.

AB - The Zagier L-series encode data of real quadratic fields. We study the average size of these L-series, and prove asymptotic expansions and omega results for the expansion. We then show how the error term in the asymptotic expansion can be used to obtain error terms in the prime geodesic theorem.

KW - 11F72

KW - 11M36

KW - 11M41

KW - 2020 Mathematics Subject Classification:

UR - http://www.scopus.com/inward/record.url?scp=85105869780&partnerID=8YFLogxK

U2 - 10.1017/S0305004121000384

DO - 10.1017/S0305004121000384

M3 - Journal article

AN - SCOPUS:85105869780

VL - 172

SP - 705

EP - 728

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

ER -

ID: 276956452