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EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES

H. MAIER

Institute for Number Theory and Probability Theory, University of Ulm, D-89069 Ulm, Germany

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A. SANKARANARAYANAN

Institute for Number Theory and Probability Theory, University of Ulm, D-89069 Ulm, Germany

Permanent address: School of Mathematics, TIFR, Homi Bhabha Road, Mumbai-400 005, India.

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https://doi.org/10.1142/S1793042110003319Cited by:2 (Source: Crossref)

Abstract

We specialize a problem studied by Elliott, the behavior of arbitrary sequences a_p of complex numbers on residue classes to prime moduli to the case a_p = e(αp). For these special cases, we obtain under certain additional conditions improvements on Elliott's results.

Keywords:

AMSC: 11L20, 11L07, 11N13

References

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Vol. 06, No. 04

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History

Received 1 August 2008

Accepted 20 May 2009

Keywords

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EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES

Abstract

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