Large character sums
Authors:
Andrew Granville and K. Soundararajan
Journal:
J. Amer. Math. Soc. 14 (2001), 365-397
MSC (2000):
Primary 11L40; Secondary 11N25
DOI:
https://doi.org/10.1090/S0894-0347-00-00357-X
Published electronically:
October 20, 2000
MathSciNet review:
1815216
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We make conjectures and give estimates for how large character sums can be as we vary over all characters mod $q$, and as we vary over real, quadratic characters. In particular we show that the largest sums seem to depend on the value of the character at “smooth numbers”.
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Additional Information
Andrew Granville
Affiliation:
Department of Mathematics, University of Georgia, Athens, Georgia 30602
MR Author ID:
76180
ORCID:
0000-0001-8088-1247
Email:
andrew@math.uga.edu
K. Soundararajan
Affiliation:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Address at time of publication:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
MR Author ID:
319775
Email:
skannan@math.princeton.edu, ksound@ias.edu
Received by editor(s):
March 29, 1999
Received by editor(s) in revised form:
September 8, 2000
Published electronically:
October 20, 2000
Additional Notes:
The first author is a Presidential Faculty Fellow. He is also supported, in part, by the National Science Foundation. The second author is partially supported by the American Institute of Mathematics (AIM)
Dedicated:
Dedicated to John Friedlander
Article copyright:
© Copyright 2000
American Mathematical Society
