Upper and Lower Bounds for Higher Moments of Theta Functions

Marc Munsch, Igor E. Shparlinski

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We obtain optimal lower bounds for moments of theta functions. On the other hand, we also get new upper bounds on individual theta values and moments of theta functions on average over primes. The upper bounds are based on bounds of character sums and, in particular, on a modification of some recent results of M. Z. Garaev.

Original languageEnglish
Pages (from-to)53-73
Number of pages21
JournalQuarterly Journal of Mathematics
Volume67
Issue number1
DOIs
Publication statusPublished - 8 Dec 2014
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Upper and Lower Bounds for Higher Moments of Theta Functions'. Together they form a unique fingerprint.

  • Cite this