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A. Karatsuba (1995)
Analogues of Kloosterman sumsIzvestiya: Mathematics, 59
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Abstract The distribution on the torus R/Z of a set of fractions of the form R={um¯R(n)(modq)q:u∈U,m∈M,n∈N} is investigated, where q is a large integer, m¯ is the inverse of m modulo q, R(x) is a rational function defined modulo q, and U, M, N are subsets of {1,…,q}. Under some natural assumptions, it is shown that the set R is uniformly distributed on R/Z. © London Mathematical Society
Bulletin of the London Mathematical Society – Oxford University Press
Published: Mar 1, 2001
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