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An effective bound for the partition function

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Abstract

We use the Bruinier–Ono formula to give an asymptotic formula for the partition function p(n) with an effective bound on the error term.

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Notes

  1. The factor 2 is missing on the right hand side of the identity for F(z) in [3, p. 213].

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Acknowlegements

We would like to thank Matt Young for some very helpful conversations, and the referee for valuable suggestions.

Funding

Funding was provided by Simons Foundation (Grant No. 421991)

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Authors and Affiliations

  1. Texas A&M University, College Station, TX, USA

    Narissara Khaochim, Riad Masri & Wei-Lun Tsai

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  1. Narissara Khaochim
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  2. Riad Masri
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  3. Wei-Lun Tsai
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Correspondence to Riad Masri.

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Khaochim, N., Masri, R. & Tsai, WL. An effective bound for the partition function. Res. number theory 5, 14 (2019). https://doi.org/10.1007/s40993-019-0151-4

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