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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Explicit upper bounds for exponential sums over primes
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by Hedi Daboussi and Joël Rivat;
Math. Comp. 70 (2001), 431-447
DOI: https://doi.org/10.1090/S0025-5718-00-01280-1
Published electronically: June 12, 2000

Abstract:

We give explicit upper bounds for linear trigonometric sums over primes.
References
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Bibliographic 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
  • Email: daboussi@math.u-psud.fr
  • 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
  • Email: rivat@iecn.u-nancy.fr
  • Received by editor(s): November 3, 1998
  • Published electronically: June 12, 2000

  • Dedicated: Dedicated to the memory of Chen Jing Run
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 70 (2001), 431-447
  • MSC (2000): Primary 11L07, 11L20
  • DOI: https://doi.org/10.1090/S0025-5718-00-01280-1
  • MathSciNet review: 1803131