Exponential sums with Farey fractions

• Autorzy: Shparlinski I. E.
• Języki publikacji: EN

Abstrakty

EN

For positive integers m and N, we estimate the rational exponential sums with denominator m over the reductions modulo m of elements of the set F(N) = {s/r : r, s ∈ Z, gcd(r, s) = 1, N ≥ r > s ≥ 1} of Farey fractions of order N (only fractions s/r with gcd(r, m) = 1 are considered).

Słowa kluczowe

EN

Farey fractions; exponential sums

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: Vol. 57, no 2
• Strony: 101--107
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Shparlinski I. E.

• Department of Computing, Macquarie University, Sydney, NSW 2109, Australia,

Bibliografia

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