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.
Originalsprache | englisch |
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Seiten (von - bis) | 53-73 |
Seitenumfang | 21 |
Fachzeitschrift | The Quarterly Journal of Mathematics |
Jahrgang | 67 |
Ausgabenummer | 1 |
DOIs | |
Publikationsstatus | Veröffentlicht - 8 Dez. 2014 |
Extern publiziert | Ja |
ASJC Scopus subject areas
- Mathematik (insg.)