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Explicit upper bounds for exponential sums over primes

Authors: Hedi Daboussi and Joël Rivat
Journal: Math. Comp. 70 (2001), 431-447
MSC (2000): Primary 11L07, 11L20
Published electronically: June 12, 2000
MathSciNet review: 1803131
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We give explicit upper bounds for linear trigonometric sums over primes.

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Additional Information

Hedi Daboussi
Affiliation: Faculté de Mathématiques et d’Informatique, 33 rue Saint-Leu, 80039 Amiens, France
Address at time of publication: UMR CNRS 8752, Mathématiques, Université Paris-Sud, 91405 Orsay Cedex, France

Joël Rivat
Affiliation: Institut Girard Desargues, CNRS UPRES-A 5028, Université Lyon I, 43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex, France
Address at time of publication: Institut Elie Cartan, Université Henri Poincaré, B.P. 239, 54506 Vandoeuvre cedex, France

Keywords: Prime numbers, exponential sums, sieves
Received by editor(s): November 3, 1998
Published electronically: June 12, 2000
Dedicated: Dedicated to the memory of Chen Jing Run
Article copyright: © Copyright 2000 American Mathematical Society