Solution-free sets for sums of binary forms
نویسندگان
چکیده
منابع مشابه
On Character Sums of Binary Quadratic Forms
We establish character sum bounds of the form ∣∣∣∣ ∑ a≤x≤a+H b≤y≤b+H χ(x + ky) ∣∣∣∣ < p−τH2, where χ is a nontrivial character (mod p), p 1 4 +ε < H < p, and |a|, |b| < p H. As an application, we obtain that given k ∈ Z\{0}, x + k is a quadratic non-residue (mod p) for some 1 ≤ x < p 1 2e. Introduction. Let k be a nonzero integer. Let p be a large prime and let H ≤ p. We are interested in the c...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2013
ISSN: 0024-6115
DOI: 10.1112/plms/pds083