Bilinear Forms With Modular Square Roots and Twisted Second Moments of Half Integral Weight Dirichlet Series-Reference-Cited by-同舟云学术

Bilinear Forms With Modular Square Roots and Twisted Second Moments of Half Integral Weight Dirichlet Series

Published:2021-08-16 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Shkredov Ilya D¹,Shparlinski Igor E¹²,Zaharescu Alexandru³⁴

Affiliation:

1. Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, Russia, 119991

2. School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia

3. Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA

4. Simon Stoilow Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania

Abstract

Abstract We establish new results on equations and bilinear forms with modular square roots. The main motivation and application of these results is our new bound on the fourth moment of the error term in the asymptotic formula for the twisted second moment of half integral weight Dirichlet series on average over moduli.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab220/39764626/rnab220.pdf

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