Hyper-Kloosterman sums of different moduli and applications

任秀敏
2016-06-13 15:00-16:00
510

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613号(周一)15:00-16:00/晨兴510

Speaker:任秀敏 (山东大学)
Title: Hyper-Kloosterman sums of different moduli and applications

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Abstract:

Hyper-Kloosterman sums of different moduli appear naturally in Voronoi's summation formula for cusp forms for GLm(Z). In this talk thesquare moment of the Kloosterman sum is evaluated  in the case of consecutively dividing moduli. As an application, smooth sums of Fourier coefficients of a Maass form for SLm(Z) against an exponential functions  are stimated. 

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