Authors
Citation
Dr. Heath-brown et S. Konyagin, New bounds for Gauss sums derived from kth powers, and for Heilbronn's exponential sum, Q J MATH, 51, 2000, pp. 221-235
Citations number
7
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606
→ ACNP
Volume
51
Year of publication
2000
Part
2
Pages
221 - 235
Database
ISI
SICI code
0033-5606(200006)51:<221:NBFGSD>2.0.ZU;2-J
Abstract
We show that
(P)Sigma(n=1)exp(2 pi ian(k)/p) << min(k(5/8)p(5/8),k(3/8)p(3/4))
and
(P)Sigma(n=1)exp(2 pi ian(p)/p(2)) << p(7/8)
when p lambda a. The proof uses a modification of Stepanov's method.