Results 221 to 230 of about 2,002 (253)
Bounds for Moments of Quadratic Dirichlet Character Sums
Bulletin of the Australian Mathematical SocietyAbstractWe establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila [‘On sums of real characters’, Tr. Mat. Inst. Steklova132 (1973), 247–250].
Lee Zhao, Peng Gao
exaly +4 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Acta Arithmetica, 1999
Let \(\chi\) be a Dirichlet character of conductor \(p^n\) with \(p \in {\mathbb{P}}\), \(n \in {\mathbb{N}}\), and let \(f(x) = a_0 + a_1 x + \cdots + a_k x^k\) be an integral polynomial such that \(k>3\) and \((p^n,a_1,\ldots,a_k)= p^m\). Using a special iteration the author proves some general character sum estimates of type \[ p^{-(n-m)(1-1/k ...
openaire +2 more sources
Let \(\chi\) be a Dirichlet character of conductor \(p^n\) with \(p \in {\mathbb{P}}\), \(n \in {\mathbb{N}}\), and let \(f(x) = a_0 + a_1 x + \cdots + a_k x^k\) be an integral polynomial such that \(k>3\) and \((p^n,a_1,\ldots,a_k)= p^m\). Using a special iteration the author proves some general character sum estimates of type \[ p^{-(n-m)(1-1/k ...
openaire +2 more sources
Ramanujan’s convolution sum twisted by Dirichlet characters
International Journal of Number Theory, 2019We find formulas for convolutions of sum of divisor functions twisted by the Dirichlet character [Formula: see text], which are analogous to Ramanujan’s formula for convolution of usual sum of divisor functions. We use the theory of modular forms to prove our results.
Aygin, Zafer Selcuk, Hong, Nankun
openaire +2 more sources
On Gauss sums with Dirichlet characters
九州大学教養部数学雑誌, 1993Let \(\chi\) be a primitive Dirichlet character of conductor \({\mathfrak f} = p^ n\), a prime power. The Gauss sum \(g(\chi)\) attached to \(\chi\) is an integer in the local \(p^ n\)-th cyclotomic field \(\mathbb{Q}_ p (\zeta_{p^ n})\). Let \(p>2\) and denote by \({\mathfrak p}_ n\) the prime ideal in this field.
Shiratani, Katsumi +2 more
openaire +2 more sources
On the distribution of values of Dirichlet characters
Russian Mathematical Surveys, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
-Adic Dirichlet characters of algebraic function fields
Journal of Soviet Mathematics, 1979A theory of precyclic P-extensions is developed which contains the well-known Witt theory. This theory makes it possible to describe so-called P-adic Dirichlet characters of function fields. In particular, for a trigonometric sum of the form where P is a prime number and f is a polynomial, its expression in terms of the zeros of a certain L function
openaire +2 more sources
Dirichlet Characters and Polynomials
Bulletin of the London Mathematical Society, 1979openaire +2 more sources
Dirichlet Characters and Low-Lying Zeros of L-Functions
Journal of Number Theory, 2020Peter J Cho
exaly