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Effective estimates for the smallest parts function.

Authors :
González, Oscar E.
Source :
Journal of Number Theory. Dec2022, Vol. 241, p364-386. 23p.
Publication Year :
2022

Abstract

We give a substantial improvement for the error term in the asymptotic formula for the smallest parts function spt (n) of Andrews. Our methods depend on an explicit bound for sums of Kloosterman sums of half integral weight on the full modular group. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MODULAR groups
*PARTITION functions

Details

Language :
English
ISSN :
0022314X
Volume :
241
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
158697974
Full Text :
https://doi.org/10.1016/j.jnt.2022.03.015
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