Distribution of residues in approximate subgroups of

Authors:
Norbert Hegyvári and François Hennecart

Journal:
Proc. Amer. Math. Soc. **140** (2012), 1-6

MSC (2010):
Primary 11B75

DOI:
https://doi.org/10.1090/S0002-9939-2011-10866-9

Published electronically:
May 3, 2011

MathSciNet review:
2833512

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Abstract | References | Similar Articles | Additional Information

Abstract: We extend a result due to Bourgain on the uniform distribution of residues by proving that subsets of the type are equidistributed (as tends to infinity), where is a polynomial, is an interval of and is an approximate subgroup of with size larger than polylogarithmic in .

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Additional Information

**Norbert Hegyvári**

Affiliation:
Institute of Mathematics, Eötvös University, H-1117 Pázmány st. 1/c, Budapest, Hungary

Email:
hegyvari@elte.hu

**François Hennecart**

Affiliation:
Université de Lyon and Université Jean-Monnet, 23, rue Michelon, 42023 Saint-Étienne, France

Email:
francois.hennecart@univ-st-etienne.fr

DOI:
https://doi.org/10.1090/S0002-9939-2011-10866-9

Received by editor(s):
June 7, 2010

Received by editor(s) in revised form:
October 26, 2010

Published electronically:
May 3, 2011

Additional Notes:
Research of the first author is partially supported by OTKA grants K 61908 and K 67676. He is grateful to the members of the LAMUSE (Laboratory of Mathematics of the University of Saint-Etienne) for their warm hospitality during his stay

Communicated by:
Matthew A. Papanikolas

Article copyright:
© Copyright 2011
American Mathematical Society