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

Ilya D. Shkredov, Igor E. Shparlinski, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)17431-17474
Number of pages44
JournalInternational Mathematics Research Notices
Volume2022
Issue number22
DOIs
StatePublished - Nov 1 2022

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'Bilinear Forms with Modular Square Roots and Twisted Second Moments of Half Integral Weight Dirichlet Series'. Together they form a unique fingerprint.

Cite this