منابع مشابه
On Sums of Binomial Coefficients
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We show that the binomial and related multiplicative character sums p ∑ x=1 (x,p)=1 χ(x(Ax +B)), p ∑ x=1 χ1(x)χ2(Ax k +B), have a simple evaluation for large enough m (for m ≥ 2 if p ABk).
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As usual Z, Q, R and C denote the ring of integers, the rational field, the real field and the complex field respectively. We also let Z = {1, 2, 3, · · · } and C∗ = C \ {0}. For a ∈ Z and n ∈ Z, by (a, n) we mean th greatest common divisor of a and n, if n is odd then the Jacobi symbol ( a n ) is defined in terms of Legendre symbols (see, e.g. [IR]). For x ∈ R, [x] and {x} stand for the integr...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2012
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm127-1-3