The asymptotic distribution of Andrews’ smallest parts function

dc.creator	Banks, Josiah
dc.creator	Barquero Sánchez, Adrián Alberto
dc.creator	Masri, Riad
dc.creator	Sheng, Yan
dc.date.accessioned	2019-01-24T19:48:25Z
dc.date.available	2019-01-24T19:48:25Z
dc.date.issued	2015-12
dc.identifier.citation	https://link.springer.com/article/10.1007/s00013-015-0831-9
dc.identifier.issn	1420-8938
dc.identifier.uri	https://hdl.handle.net/10669/76492
dc.description.abstract	In this paper, we use methods from the spectral theory of automorphic forms to give an asymptotic formula with a power saving error term for Andrews’ smallest parts function spt(n). We use this formula to deduce an asymptotic formula with a power saving error term for the number of 2-marked Durfee symbols associated to partitions of n. Our method requires that we count the number of Heegner points of discriminant −D < 0 and level N inside an “expanding” rectangle contained in a fundamental domain for Γ0(N).	es_ES
dc.language.iso	en_US	es_ES
dc.rights	Todos los derechos reservados	*
dc.source	Archiv der Mathematik, vol.105(6), pp. 539–555.	es_ES
dc.subject	Durfee symbol	es_ES
dc.subject	Partition	es_ES
dc.subject	Smallest parts function	es_ES
dc.title	The asymptotic distribution of Andrews’ smallest parts function	es_ES
dc.type	versión final del autor
dc.type	artículo original
dc.identifier.doi	10.1007/s00013-015-0831-9
dc.description.procedence	UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática	es_ES