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

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

2011-05-04

arxiv.org/abs/1105.0827v3

Mathematics

Number Theory

5 pages

Scientific paper

We prove an analogue of Selberg's explicit formula for Motohashi's product
(see arXiv:1104.1358v2 [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.

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