Results 121 to 130 of about 1,790 (152)

Ramanujan’s convolution sum twisted by Dirichlet characters

International Journal of Number Theory, 2019
We 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
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On Gauss sums with Dirichlet characters

九州大学教養部数学雑誌, 1993
Let \(\chi\) 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, Uchiyama, Shigenori, Pei, Xiaowun   +2 more
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On the distribution of values of Dirichlet characters

Russian Mathematical Surveys, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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-Adic Dirichlet characters of algebraic function fields

Journal of Soviet Mathematics, 1979
A 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
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On pseudorandom properties of some Dirichlet characters

The Ramanujan Journal, 2007
The author of this paper studies binary sequences \[ E_N=(e_1,\ldots,e_N)\in\{-1,+1\}^N \] and deals with two quantities for measuring their pseudorandomness, namely the so-called well-distribution measure and the correlation measure. These quantities were introduced by Mauduit and Sárközy. In this article, two main results are shown. First, the author
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On the mean value of generalized Dirichlet $${\varvec{L}}$$-functions with weight of the character sums

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2021
Rong Ma
exaly  

Character Gamma Functions and Evaluation of Series with Dirichlet L-Value Coefficients

Lithuanian Mathematical Journal, 2021
Mümün Can, Can Mümün
exaly  

Dirichlet Characters and Polynomials

Bulletin of the London Mathematical Society, 1979
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Dirichlet Characters

2023
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Characters and Dirichlet’s theorem

2023
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