Abstract
AbstractWhen p is a prime number, and k1,…,kt are natural numbers with 1≤k1<k2<⋯<kt<p, we show that the simultaneous congruences ∑ t1xkji≡∑ t1ykjimod p (1≤j≤t) possess at most k1⋯ktpt solutions with 1≤xi,yi≤p (1≤i≤t). Analogous conclusions are provided when one or more of the exponents ki is negative.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. On large values of Weyl sums;Advances in Mathematics;2020-08
2. Twisted exponential sums over points of elliptic curves;Acta Arithmetica;2011
3. Bounds on fewnomial exponential sums over ℤp;Mathematical Proceedings of the Cambridge Philosophical Society;2010-06-22