Exponential sums with rational function entries
نویسندگان
چکیده
منابع مشابه
Upper Bounds on Character Sums with Rational Function Entries
We obtain formulae and estimates for character sums of the type S(χ, f, pm) = ∑pm x=1 χ(f(x)), where p m is a prime power with m ≥ 2, χ is a multiplicative character (mod pm), and f = f1/f2 is a rational function over Z. In particular, if p is odd, d = deg(f1) + deg(f2) and d∗ = max(deg(f1), deg(f2)) then we obtain |S(χ, f, pm)| ≤ (d− 1)pm(1− 1 d∗ ) for any non constant f (mod p) and primitive ...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2000
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-95-1-67-95