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2016•International Mathematics Research NoticesOpen access

Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group

Scott Ahlgren, Nickolas Andersen

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Abstract

We estimate the sums ∑c≤xS(m,n,c,χ)c, where the $S(m,n,c,\chi)$ are Kloosterman sums associated with a multiplier system $\chi$ of half-integral weigh

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We estimate the sums ∑c≤xS(m,n,c,χ)c, where the $S(m,n,c,\chi)$ are Kloosterman sums associated with a multiplier system $\chi$ of half-integral weigh

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Available abstract

We estimate the sums ∑c≤xS(m,n,c,χ)c, where the $S(m,n,c,\chi)$ are Kloosterman sums associated with a multiplier system $\chi$ of half-integral weigh

Key concepts: Kloosterman sum, Mathematics, Cusp form, Bessel function, Modular form, Cusp (singularity), Partition (number theory), Modular group

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