Effective estimates for the smallest parts function

Oscar E. González

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arXiv · 2006.15504

Effective estimates for the smallest parts function

Oscar E. González

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Abstract

We give a substantial improvement for the error term in the asymptotic formula for the smallest parts function $\mathrm{spt}(n)$ of Andrews. Our methods depend on an explicit bound for sums of Kloosterman sums of half integral weight on the full modular group.

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Oscar E. González. 2020-06-28. Effective estimates for the smallest parts function. https://arxiv.org/abs/2006.15504

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