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Explicit upper bounds for exponential sums over primes
Author(s):
Hedi
Daboussi;
Joël
Rivat.
Journal:
Math. Comp.
70
(2001),
431-447.
MSC (2000):
Primary 11L07, 11L20
Posted:
June 12, 2000
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Abstract:
We give explicit upper bounds for linear trigonometric sums over primes.
References:
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- -, Estimation of linear trigonometric sums with primes (Chinese), Acta Mathematica Sinica, 37 (1994), No. 1, pp. 25-31. MR 95c:11102
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- H. DABOUSSI, Effective estimates of exponential sums over primes, Analytic Number Theory, Vol. 1, Progr. Math., 138, Birkhäuser, Boston, 1996, pp. 231-244. MR 97i:11088
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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
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
DOI:
10.1090/S0025-5718-00-01280-1
PII:
S 0025-5718(00)01280-1
Keywords:
Prime numbers,
exponential sums,
sieves
Received by editor(s):
November 3, 1998
Posted:
June 12, 2000
Dedicated:
Dedicated to the memory of Chen Jing Run
Copyright of article:
Copyright
2000,
American Mathematical Society
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