New estimates of double trigonometric sums with exponential functions
نویسندگان
چکیده
منابع مشابه
New estimates of double trigonometric sums with exponential functions
We establish a new bound for the exponential sum x∈X y∈Y γ(y) exp(2πiaλ xy /p) , where λ is an element of the residue ring modulo a large prime number p, X and Y are arbitrary subsets of the residue ring modulo p − 1 and γ(n) are any complex numbers with |γ(n)| ≤ 1. In particular, we improve several previously known bounds.
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2006
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-006-1628-7