Polynomial Gauss sums
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- by Stephen D. Cohen, Michael Dewar, John B. Friedlander, Daniel Panario and Igor E. Shparlinski PDF
- Proc. Amer. Math. Soc. 133 (2005), 2225-2231 Request permission
Abstract:
A recent bound for exponential sums by Friedlander, Hansen and Shparlinski is extended to twisted exponential sums with general polynomial arguments. As a by-product a new result about perfect powers in certain products of polynomials is established.References
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Additional Information
- Stephen D. Cohen
- Affiliation: Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland, United Kingdom
- MR Author ID: 50360
- Email: sdc@maths.gla.ac.uk
- Michael Dewar
- Affiliation: School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
- Email: mdewar@magma.ca
- John B. Friedlander
- Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
- Email: frdlndr@math.toronto.edu
- Daniel Panario
- Affiliation: School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, Canada K1S 5B6
- Email: daniel@math.carleton.ca
- Igor E. Shparlinski
- Affiliation: Department of Computing, Macquarie University, Sydney, NSW 2109, Australia
- MR Author ID: 192194
- Email: igor@ics.mq.edu.au
- Received by editor(s): October 20, 2003
- Published electronically: March 17, 2005
- Additional Notes: The second author was supported in part by an NSERC Undergraduate Student Research Award
The third author was supported in part by NSERC grant A5123 and a Killam Research Fellowship.
The fourth author was supported in part by NSERC grant 238757
The fifth author was supported in part by ARC grant A69700294 - Communicated by: Wen-Ching Winnie Li
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2225-2231
- MSC (2000): Primary 11L07, 11T23; Secondary 11B50, 11K31
- DOI: https://doi.org/10.1090/S0002-9939-05-08004-4
- MathSciNet review: 2138863