An analogue of Selberg's formula for Motohashi's product

2011/05/04 by Sergei Preobrazhenskiĭ, Preobrazhenskii, Sergei
Mathematics · #11M26 #11NXX #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1105.0827

openalex publication_date 2011/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove an analogue of Selberg's explicit formula for Motohashi's product (see arXiv:1104.1358v3 [math.NT]). We also provide a zero-density theorem for the product, which follows from Soundararajan's theorem for moments of the Riemann zeta-function on the critical line.

Citations

• Moments of the Riemann zeta-function

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