The asymptotic distribution of Andrews’ smallest parts function View Full Text


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Article Info

DATE

2015-12

AUTHORS

Josiah Banks, Adrian Barquero-Sanchez, Riad Masri, Yan Sheng

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). More... »

PAGES

539-555

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00013-015-0831-9

DOI

http://dx.doi.org/10.1007/s00013-015-0831-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1033823759


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