Short character sums with Beatty sequences
نویسندگان
چکیده
منابع مشابه
Short Character Sums with Beatty Sequences
Abstract. We estimate multiplicative character sums taken on the values of a nonhomogeneous Beatty sequence {⌊αn+ β⌋ : n = 1, 2, . . . }, where α, β ∈ R, and α is irrational. In particular, our bounds imply that for fixed α, β and a small real number ε > 0, if p is sufficiently large and p1/3+ε ≤ N ≤ p1/2+ε, then among the first N elements of the Beatty sequence there are N/2+ o(N) quadratic no...
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We estimate multiplicative character sums taken on the values of a non-homogeneous Beatty sequence {⌊αn + β⌋ : n = 1, 2, . . . }, where α, β ∈ R, and α is irrational. Our bounds are nontrivial over the same short intervals for which the classical character sum estimates of Burgess have been established. 2000 Mathematics Subject Classification: 11B50, 11L40, 11T24
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2006
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2006.v13.n4.a4