✦ LIBER ✦

A Carleman-Nevanlinna Theorem and Summation of the Riemann Zeta-Function Logarithm

✍ Scribed by Andriy A. Kondratyuk

Book ID: 120888914
Publisher: Springer-Verlag
Year: 2005
Tongue: English
Weight: 180 KB
Volume: 4
Category: Article
ISSN: 1617-9447
DOI: 10.1007/BF03321076

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Density theorem and the behavior of the

Density theorem and the behavior of the argument of the Riemann zeta function

✍ A. A. Karatsuba 📂 Article 📅 1996 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 96 KB

Mean-Value Theorem of the Riemann Zeta-F

Mean-Value Theorem of the Riemann Zeta-Function Over Short Intervals

✍ A. Sankaranarayanan; K. Srinivas 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 139 KB

Let \(s=\sigma+i t\). Then, on the assumption of Riemann Hypothesis, we prove the Mean-Value Theorem for the square of the Riemann zeta-function over shorter intervals for \(1 / 2+A_{1} / \log \log T \leqslant \sigma \leqslant 1-\delta\). Here \(A_{1}\) is a large positive constant, \(\delta\) is a

A two-dimensional limit theorem for Mell

A two-dimensional limit theorem for Mellin transforms of the Riemann zeta-function

✍ A. Laurinčikas 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 265 KB

Path integrals and voronin's theorem on

Path integrals and voronin's theorem on the universality of the riemann zeta function

✍ Khalil M. Bitar 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 261 KB

A Joint Limit Theorem for the Riemann Ze

A Joint Limit Theorem for the Riemann Zeta-Function in the Space of Analytic Functions

✍ R. Šleževičienė 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 87 KB