✦ LIBER ✦

Dirichlet L-functions and character power sums

✍ Scribed by Tom M Apostol

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 434 KB
Volume: 2
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(70)90022-3

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On certain character sums over p -adic r

On certain character sums over p -adic rings and their L -functions

✍ Régis Blache 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 244 KB

## Abstract In this paper we present a new method for evaluating exponential sums associated to a restricted power series in one variable modulo __p__^__l__^ , a power of a prime. We show that for sufficiently large __l__, these sums can be expressed in terms of Gauss sums. Moreover, we study the a

On the 2k-th Power Mean of Dirichlet L-F

On the 2k-th Power Mean of Dirichlet L-Functions with the Weight of General Kloosterman Sums

✍ Zhang Wenpeng; Yi Yuan; He Xiali 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 132 KB

The main purpose of this paper is using the classical estimation of the Kloosterman sum and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums and give an interesting 2k-th mean value theorem.

Character Sums, Primitive Elements, and

Character Sums, Primitive Elements, and Powers in Finite Fields

✍ Arne Winterhof 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 148 KB

Consider an extension field F q m =F q (a) of the finite field F q . Davenport proved that the set F q +a contains at least one primitive element of F q m if q is sufficiently large with respect to m. This result is extended to certain subsets of F q +a of cardinality at least of the order of magnit

Formal groups and Dirichlet L-functions,

Formal groups and Dirichlet L-functions, I

✍ Nancy Childress; Jeffrey Stopple 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 449 KB

Formal groups and Dirichlet L-functions,

Formal groups and Dirichlet L-functions, II

✍ Nancy Childress; Jeffrey Stopple 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 294 KB

p-AdicL-Functions and Sums of Powers

✍ Lawrence C. Washington 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 379 KB

We give an explicit p-adic expansion of np j=1, ( j, p)=1 j &r as a power series in n. The coefficients are values of p-adic L-functions. 1998 Academic Press Several authors (see [2, pp. 95 103]) have studied the sums : np j=1 ( j, p)=1 k=1 \ &r k + L p (r+k, | 1&k&r )( pn) k