Results 11 to 20 of about 361 (50)
Cancellations Amongst Kloosterman Sums
, 2016 We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals.
Shparlinski, I. E., Zhang, T. P.
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One kind sixth power mean of the three-term exponential sums
Open Mathematics, 2017 In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums.
Wang Xiaoying, Li Xiaoxue
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On Primes Represented by Quadratic Polynomials
, 2007 This is a survey article on the Hardy-Littlewood conjecture about primes in quadratic progressions. We recount the history and quote some results approximating this hitherto unresolved conjecture.Comment: six(6) pages, minor changes were ...
Baier, Stephan, Zhao, Liangyi
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Hybrid subconvexity for class group $L$-functions and uniform sup norm bounds of Eisenstein series
, 2020 In this paper we prove a hybrid subconvexity bound for class group $L$-functions associated to a quadratic extension $K/\mathbb{Q}$ (real or imaginary). Our proof relies on relating the class group $L$-functions to Eisenstein series evaluated at Heegner ...
Nordentoft, Asbjorn Christian
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Multiple Exponential and Character Sums with Monomials
, 2013 We obtain new bounds of multivariate exponential sums with monomials, when the variables run over rather short intervals. Furthermore, we use the same method to derive estimates on similar sums with multiplicative characters to which previously known ...
Shparlinski, Igor
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Distribution of powers modulo p and security of RSA
Journal of Mathematical CryptologyLet p be a prime and a be any fixed positive integer such that gcd(a, φ(p)) = 1. For 0 < x
Meng Xianmeng, Dang Yongjie
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Abel Summation of Ramanujan-Fourier Series [PDF]
, 2015 Using Abel summation the paper proves a weak form of the Wiener-Khinchin formula for arithmetic functions with point-wise convergent Ramanujan-Fourier expansions.
Washburn, John
core
Almost all palindromes are composite
, 2004 We study the distribution of palindromic numbers (with respect to a fixed base $g\ge 2$) over certain congruence classes, and we derive a nontrivial upper bound for the number of prime palindromes $n\le x$ as $x\to\infty$.
Banks, William D. +2 more
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On Bilinear Exponential and Character Sums with Reciprocals of Polynomials
, 2015 We give nontrivial bounds for the bilinear sums $$ \sum_{u = 1}^{U} \sum_{v=1}^V \alpha_u \beta_v \mathbf{\,e}_p(u/f(v)) $$ where $\mathbf{\,e}_p(z)$ is a nontrivial additive character of the prime finite field ${\mathbb F}_p$ of $p$ elements, with ...
Shparlinski, Igor E.
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Exponential sums with automatic sequences
, 2017 We show that automatic sequences are asymptotically orthogonal to periodic exponentials of type $e_q(f(n))$, where $f$ is a rational fraction, in the P\'olya-Vinogradov range.
Drappeau, Sary, Müllner, Clemens
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