Exponential sums over primes in residue classes

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Date
2010-06-01
Authors
Maier, H.
Sankaranarayanan, A.
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Abstract
We specialize a problem studied by Elliott, the behavior of arbitrary sequences ap of complex numbers on residue classes to prime moduli to the case ap = e(αp). For these special cases, we obtain under certain additional conditions improvements on Elliott's results. © 2010 World Scientific Publishing Company.
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Keywords
Exponential sums, prime moduli, Vaughan's identity, von Mangoldt function
Citation
International Journal of Number Theory. v.6(4)