论文信息 - Bounds for short character sums for $GL(2) \times GL(3)$ twists

Bounds for short character sums for $GL(2) \times GL(3)$ twists

Abstract. Let π be a SL(3,Z) Hecke Maass-cusp form, f be a SL(2,Z) holomorphic cusp form or Maass-cusp form with normalized Fourier coefficients λπ(r, n) and λf (n) respectively and χ be any non-trivial primitive character mod p where p is a prime. Then in this article we shortened the range for N , by N > p, for cancellation in the twisted GL(2) × GL(3) short character sum Sπ,f,χ(N) and getting the following bound: Sπ,f,χ(N) ≪π,f,ǫ Np(Np).

Aritra Ghosh | Aritra Ghosh

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