Sum of the GL(3) Fourier coefficients over quadratics and mixed powers

2023/10/17 by Chanana, Himanshi, Singh, Saurabh Kumar
#11A25 #11F30 #11N37 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2310.11408

Abstract

Let Λ(1,n) be the (1,n)-th Fourier coefficients of SL(3,ℤ) Hecke-Maass cusp form and d₃(n) denotes the triple divisor function. This paper establishes non-trivial bounds for the averages of these arithmetic functions over polynomials in three variables having mixed powers and over quadratic forms.

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