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.accessioned	2022-10-20T01:17:53Z
dc.date.available	2019-01-24T19:48:25Z
dc.date.available	2022-10-20T01:17:53Z
dc.date.created	2019-01-24T19:48:25Z
dc.date.issued	2015-12
dc.identifier	https://link.springer.com/article/10.1007/s00013-015-0831-9
dc.identifier	1420-8938
dc.identifier	https://hdl.handle.net/10669/76492
dc.identifier	10.1007/s00013-015-0831-9
dc.identifier.uri	https://repositorioslatinoamericanos.uchile.cl/handle/2250/4539223
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).
dc.language	en_US
dc.rights	Todos los derechos reservados
dc.source	Archiv der Mathematik, vol.105(6), pp. 539–555.
dc.subject	Durfee symbol
dc.subject	Partition
dc.subject	Smallest parts function
dc.title	The asymptotic distribution of Andrews’ smallest parts function
dc.type	versión final del autor
dc.type	artículo científico