INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS
نویسندگان
چکیده
منابع مشابه
Bilinear Sums with Exponential Functions
Let g = 0,±1 be a fixed integer. Given two sequences of complex numbers (φm) ∞ m=1 and (ψn) ∞ n=1 and two sufficiently large integers M and N , we estimate the exponential sums ∑ p≤M gcd(ag,p)=1 ∑ 1≤n≤N φpψnep (ag ) , a ∈ Z, where the outer summation is taken over all primes p ≤ M with gcd(ag, p) = 1.
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2014
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/hau015