THE ASYMPTOTIC DISTRIBUTION OF TRACES OF WEAK MAASS FORMS

THE ASYMPTOTIC DISTRIBUTION OF TRACES OF WEAK MAASS FORMS

We give an asymptotic formula with a power saving error term for traces of CM values of a generic class of weak Maass forms. We apply this result to study the asymptotic distribution of several arithmetic functions, including the partition function, the Andrews smallest parts function, and the coeff...

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Veröffentlicht in:Mathematika 2021-10, Vol.67 (4), p.739-787
Hauptverfasser: Khaochim, Narissara, Masri, Riad, Tsai, Wei‐Lun
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container_title Mathematika
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creator Khaochim, Narissara
Masri, Riad
Tsai, Wei‐Lun
description We give an asymptotic formula with a power saving error term for traces of CM values of a generic class of weak Maass forms. We apply this result to study the asymptotic distribution of several arithmetic functions, including the partition function, the Andrews smallest parts function, and the coefficients of Ramanujan's mock theta function f(q).
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title THE ASYMPTOTIC DISTRIBUTION OF TRACES OF WEAK MAASS FORMS
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