On two problems of Mordell about exponential sums
نویسندگان
چکیده
منابع مشابه
An Improved Mordell Type Bound for Exponential Sums
where ep(·) is the additive character ep(·) = e2πi·/p on the finite field Zp. For χ = χ0, the principal character, the sum is just a pure exponential sum S(χ0, f) = ∑p−1 x=1 ep(f(x)). Of course S(χ, f) = 0 unless χ(p−1)/d = χ0 where d = (k1, ..., kr, p− 1), as is easily seen from the change of variables x → xu if there is a u with u = 1 and χ(u) 6= 1. The classical Weil bound [12] (see [2] or [...
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Recent developments in the theory and application of the HardyLittlewood method are discussed, concentrating on aspects associated with diagonal diophantine problems. Recent efficient differencing methods for estimating mean values of exponential sums are described first, concentrating on developments involving smooth Weyl sums. Next, arithmetic variants of classical inequalities of Bessel and ...
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This is a collection of mostly unrelated open questions, at various levels of difficulty, related to exponential and multiplicative character sums. One may certainly notice a large proportion of self-references in the bibliography. By no means should this be considered as an indication of anything else than the fact that the choice of problems reflects the taste and interests of the author. Thu...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1998
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-86-2-149-154