✦ LIBER ✦

A note on the mean value of the Dedekind zeta-function of the quadratic field

✍ Scribed by Yoichi Motohashi

Publisher: Springer
Year: 1970
Tongue: English
Weight: 143 KB
Volume: 188
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01350815

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A mean value theorem for the Dedekind ze

A mean value theorem for the Dedekind zeta-function of a quadratic number field

✍ Jürgen G. Hinz 📂 Article 📅 1979 🏛 Springer Vienna 🌐 English ⚖ 343 KB

On the Mean Value of the Dedekind Sum wi

On the Mean Value of the Dedekind Sum with the Weight of Hurwitz Zeta-Function

✍ He Xiali; Zhang Wenpeng 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 713 KB

Determinantal Formula for the Special Va

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

✍ Fumio Hazama 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 107 KB

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 wh

On the Mean Value of Dedekind Sums

✍ Chaohua Jia 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 140 KB

The minima of quadratic forms and the be

The minima of quadratic forms and the behavior of Epstein and Dedekind zeta functions

✍ Audrey Terras 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 705 KB

A logarithm type mean value theorem of t

A logarithm type mean value theorem of the Riemann zeta function

✍ Xia-Qi Ding; Shao-Ji Feng 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 90 KB

For any integer K 2 and positive integer h, we investigate the mean value of |ζ(σ + it)| 2k × log h |ζ(σ + it)| for all real number 0 < k < K and all σ > 1 -1/K. In case K = 2, h = 1, this has been studied by Wang in [F.T. Wang, A mean value theorem of the Riemann zeta function, Quart. J. Math. Oxfo