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Brun's Fundamental Lemma and Exponential Sums over Primes

✍ Scribed by H. Daboussi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 142 KB
Volume: 90
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2639

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✦ Synopsis

We give an upper bound for some exponential sums over primes, using only sieve methods and Chebyshev's estimate on primes.

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Evaluation of some exponential sums over i l finite field By L. CAF~LITZ of Durham (U.S.A.) (Eingegangen am 10.7.1978) 1. Introduction. Let Fq = QF(q) denote the finite field of order q = p", p prime, n 2 1. For a E Fq put t(a) = a + up + + up"-' and e(a) = p i W / p , so that t(aP) = t(a), e(aP) =