Averages of shifted convolutions of d₃(n)

2011/01/28 by Stephan Baier, Baier, S., T. D. Browning +5 · 3 citations
Mathematics · #11N37 (11M06 #11P55) #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1101.5464

openalex publication_date 2011/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the first and second moments of shifted convolutions of the generalised divisor function d₃(n).

Cited by

• Average shifted convolution sum for GL(d₁)× GL(d₂)
• On shifted convolution sums of GL(3)-Fourier coefficients with an average over shifts
• Continuation of Dirichlet series I

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