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arXiv · 2208.03358

The large sieve for self-dual Eisenstein series of varying levels

Matthew P Young
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Abstract

We prove an essentially optimal large sieve inequality for self-dual Eisenstein series of varying levels. This bound can alternatively be interpreted as a large sieve inequality for rationals ordered by height. The method of proof is recursive, and has some elements in common with Heath-Brown's quadratic large sieve, and the asymptotic large sieve of Conrey, Iwaniec, and Soundararajan.

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Matthew P Young. 2022-08-05. The large sieve for self-dual Eisenstein series of varying levels. https://doi.org/10.4064/aa230213-1-1

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