Prime geodesics and averages of the Zagier L-series
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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
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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