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Article: Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection

TitleDistribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection
Authors
Keywordselliptic curves
Holomorphic projection
Hurwitz class numbers
trace of Frobenius
Issue Date1-Aug-2023
PublisherAmerican Mathematical Society
Citation
Transactions of the American Mathematical Society, 2023, v. 376, n. 8, p. 5503-5519 How to Cite?
Abstract

In this paper, we study moments of Hurwitz class numbers associated to imaginary quadratic orders restricted into fixed arithmetic progressions. In particular, we fix � in an arithmetic progression: $t\eqjiv m\pmod{M}$�≡� (mod⁡�) and consider the ratio of the 2k2⁢�-th moment to the zeroeth moment for $H(4n-t^2)$�⁢(4⁢�−�2)as one varies $n$�. 


Persistent Identifierhttp://hdl.handle.net/10722/340889
ISSN
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 1.581
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorKane, Ben-
dc.contributor.authorPujahari, Sudhir-
dc.date.accessioned2024-03-11T10:48:03Z-
dc.date.available2024-03-11T10:48:03Z-
dc.date.issued2023-08-01-
dc.identifier.citationTransactions of the American Mathematical Society, 2023, v. 376, n. 8, p. 5503-5519-
dc.identifier.issn0002-9947-
dc.identifier.urihttp://hdl.handle.net/10722/340889-
dc.description.abstract<p>In this paper, we study moments of Hurwitz class numbers associated to imaginary quadratic orders restricted into fixed arithmetic progressions. In particular, we fix � in an arithmetic progression: $t\eqjiv m\pmod{M}$�≡� (mod⁡�) and consider the ratio of the 2k2⁢�-th moment to the zeroeth moment for $H(4n-t^2)$�⁢(4⁢�−�2)as one varies $n$�. <br></p>-
dc.languageeng-
dc.publisherAmerican Mathematical Society-
dc.relation.ispartofTransactions of the American Mathematical Society-
dc.subjectelliptic curves-
dc.subjectHolomorphic projection-
dc.subjectHurwitz class numbers-
dc.subjecttrace of Frobenius-
dc.titleDistribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection-
dc.typeArticle-
dc.identifier.doi10.1090/tran/8885-
dc.identifier.scopuseid_2-s2.0-85171877234-
dc.identifier.volume376-
dc.identifier.issue8-
dc.identifier.spage5503-
dc.identifier.epage5519-
dc.identifier.eissn1088-6850-
dc.identifier.isiWOS:000995445900001-
dc.identifier.issnl0002-9947-

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