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- W2045185979 abstract "For a prime p, we consider Kloosterman sums Kp(a) = Σ/x∈F*p exp(2πi(x + ax -1 ) /p), a ∈ F*p, over a finite field of p elements. It is well known that due to results of Deligne, Katz and Sarnak, the distribution of the sums Kp(a) when a runs through F* p is in accordance with the Sato-Tate conjecture. Here we show that the same holds where a runs through the sums a = u + v for u ∈ U, v ∈ ν for any two sufficiently large sets U, V C F*p. We also improve a recent bound on the nonlinearity of a Boolean function associated with the sequence of signs of Kloosterman sums." @default.
- W2045185979 created "2016-06-24" @default.
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- W2045185979 date "2007-11-02" @default.
- W2045185979 modified "2023-10-18" @default.
- W2045185979 title "On the distribution of Kloosterman sums" @default.
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- W2045185979 doi "https://doi.org/10.1090/s0002-9939-07-08943-5" @default.
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