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pro vyhledávání: '"Claire Burrin"'
Autor:
Claire Burrin
Publikováno v:
Journal de théorie des nombres de Bordeaux, 34 (3)
For any noncocompact Fuchsian group Γ, we show that periods of the canonical differential of the third kind associated to residue divisors of cusps are expressed in terms of Rademacher symbols for Γ (generalizations of periods appearing in the clas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be36a102e7b104a73a7cd226ea9373dc
Publikováno v:
Acta Arithmetica. 196:139-162
We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. These results apply to general Fuchsian groups of the first kind, and exam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61a1560ca539bb64fb436bb6e4f1ae5c
https://doi.org/10.4064/aa190425-31-1
https://doi.org/10.4064/aa190425-31-1
Autor:
Claire Burrin, Matthew Issac
Publikováno v:
The American Mathematical Monthly, 128 (10)
While the twin prime conjecture is still famously open, it holds true in the setting of finite fields: There are infinitely many pairs of monic irreducible polynomials over F-q that differ by a fixed constant, for each q >= 3. Elementary, constructiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bae7ab174c25114032acb20d034bf9b
Publikováno v:
Mathematische Annalen, 382 (1)
We study the limiting distribution of the rational points under a horizontal translation along a sequence of expanding closed horocycles on the modular surface. Using spectral methods we confirm equidistribution of these sample points for any transla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::495653bcb7e4e4149c262f2e0a2d5a64
https://pubmed.ncbi.nlm.nih.gov/35221379
https://pubmed.ncbi.nlm.nih.gov/35221379
Autor:
Claire Burrin
Publikováno v:
Automorphic Forms and Related Topics. :19-26
Dedekind sums, arithmetic correlation sums that arose in Dedekind's study of the modular transformation of the logarithm of the eta-function, are surprisingly ubiquitous. Their arithmetic properties attracted the attention of number theorists, combin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a9b505b622f3b759d674edb4658de97
https://doi.org/10.1090/conm/732/14796
https://doi.org/10.1090/conm/732/14796
Autor:
Claire Burrin
Publikováno v:
Proceedings of the American Mathematical Society. 146:1367-1376
Dedekind sums are arithmetic sums that were first introduced by Dedekind in the context of elliptic functions and modular forms, and later recognized to be surprisingly ubiquitous. Among the variations and generalizations introduced since, there is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3eeb71ea53402adfac02dd863238f78
https://doi.org/10.1090/proc/13880
https://doi.org/10.1090/proc/13880
Autor:
Claire Burrin
Dedekind sums are well-studied arithmetic sums, with values uniformly distributed on the unit interval. Based on their relation to certain modular forms, Dedekind sums may be defined as functions on the cusp set of $SL(2,\mathbb{Z})$. We present a co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e1efdef91d182937d486c103560eafa
http://arxiv.org/abs/1509.04429
http://arxiv.org/abs/1509.04429