✦ LIBER ✦

Determinantal Formula for the Special Values of the Dedekind Zeta Function of the Cyclotomic Field

✍ Scribed by Fumio Hazama

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 107 KB
Volume: 75
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1998.2338

No coin nor oath required. For personal study only.

✦ Synopsis

A family of integer matrices, which generalize the Demjanenko matrix and the matrix defined by Silverman, is introduced and shown to compute the values at negative integers of the Dedekind zeta function of the pth cyclotomic field for any prime p.

1999 Academic Press where D( p, n) is an integer which is easily computed once p, n are given.

📜 SIMILAR VOLUMES

A Formula for the Dedekind ξ-Function of

A Formula for the Dedekind ξ-Function of an Imaginary Quadratic Field

✍ Xian-Jin Li 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 137 KB

An Improvement on the Mean Value Formula

An Improvement on the Mean Value Formula for the Approximate Functional Equation of the Square of the Riemann Zeta-Function

✍ I. Kiuchi 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 143 KB

The Values of the Zeta-Function of a Cla

The Values of the Zeta-Function of a Class of Ideals and the Ankeny, Artin and Chowla Congruences for the Class Number of Real Quadratic Number-Fields

✍ H. Lang 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 190 KB

Analytical formulas for the magnetic fie

Analytical formulas for the magnetic field produced by a spin or a paramagnetic current density in the case of Gaussian basis functions

✍ P. Cassam-Chenaï 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB 👁 2 views