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dc.contributor.author
Lauret, Emilio Agustin
dc.date.available
2018-03-23T19:59:10Z
dc.date.issued
2014-01
dc.identifier.citation
Lauret, Emilio Agustin; An asymptotic formula for representations of integers by indefinite hermitian forms; American Mathematical Society; Proceedings of the American Mathematical Society; 142; 1; 1-2014; 1-14
dc.identifier.issn
0002-9939
dc.identifier.uri
http://hdl.handle.net/11336/39855
dc.description.abstract
We fix a maximal order O in F = R, C or H, and an F-hermitian form Q of signature (n, 1) with coefficients in O. Let k ∈ N. By applying a lattice point theorem on an n-dimensional F-hyperbolic space, we give an asymptotic formula with an error term, as t → +∞, for the number Nt;(Q,-k) of integral solutions x ∈ On+1 of the equation Q[x] = -k satisfying |xn+1| ≤ t.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hyperbolic Lattice Point Theorem
dc.subject
Representation by Hermitian Forms
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
An asymptotic formula for representations of integers by indefinite hermitian forms
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-03-22T15:55:17Z
dc.journal.volume
142
dc.journal.number
1
dc.journal.pagination
1-14
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Providence
dc.description.fil
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Proceedings of the American Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/S0002-9939-2013-11726-0
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2014-142-01/S0002-9939-2013-11726-0/home.html
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