Quasi-diagonal behaviour and smooth Weyl sums

Authors
Wooley, TD
Citation
Td. Wooley, Quasi-diagonal behaviour and smooth Weyl sums, MONATS MATH, 130(2), 2000, pp. 161-170
Citations number
14
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255 → ACNP
Volume
130
Issue
2
Year of publication
2000
Pages
161 - 170
Database
ISI
SICI code
0026-9255(2000)130:2<161:QBASWS>2.0.ZU;2-9
Abstract
Estimates are provided for small moments of exponential sums over smooth nu mbers substantially sharper than available hitherto. These bounds arise fro m the author's recent breaking of "classical convexity" in Waring's problem . The methods underlying these new estimates provide guidance on good choic es of parameters in the new iterative methods for smaller exponents. 1991 M athematics Subject Classification: 11L15, 11L07, 11P55.