✦ LIBER ✦

The Riemann Hypothesis and Gamma Conditions

✍ Scribed by C.P Chen

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 442 KB
Volume: 173
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1065

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Riemann Hypothesis for the Charac

On the Riemann Hypothesis for the CharacteristicpZeta Function

✍ Daqing Wan 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 476 KB

Asymptotics of an ordinary differential

Asymptotics of an ordinary differential equation and the Riemann hypothesis

✍ Ian Knowles 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 490 KB

The Positivity of a Sequence of Numbers

The Positivity of a Sequence of Numbers and the Riemann Hypothesis

✍ Xian-Jin Li 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 756 KB

In this note, we prove that the Riemann hypothesis for the Dedekind zeta function is equivalent to the nonnegativity of a sequence of real numbers.

Complements to Li's Criterion for the Ri

Complements to Li's Criterion for the Riemann Hypothesis

✍ Enrico Bombieri; Jeffrey C. Lagarias 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 131 KB

In a recent paper Xian-Jin Li showed that the Riemann Hypothesis holds if and only if \* n = \ [1&(1&1Â\) n ] has \* n >0 for n=1, 2, 3, ... where \ runs over the complex zeros of the Riemann zeta function. We show that Li's criterion follows as a consequence of a general set of inequalities for an

On Beurling′s Real Variable Reformulatio

On Beurling′s Real Variable Reformulation of the Riemann Hypothesis

✍ L Baezduarte 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 623 KB

Let \(\rho(x)\) be the fractional part of \(x, B\) is the linear space of functions \(\sum_{1 \leqslant k \leqslant n} a_{k} \rho\left(\theta_{k} / x\right), \theta_{k} \in(0,1], \sum a_{k} \theta_{k}=0, n\) any positive integer. For \(p \in(1,2]\) Beurling proved that \(\zeta(s) \neq 0\) in \(\math

The Riemann Hypothesis for the Goss Zeta

The Riemann Hypothesis for the Goss Zeta Function for Fq[T]

✍ Jeffrey T Sheats 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 516 KB

Let q be a power of a prime p. We prove an assertion of Carlitz which takes q as a parameter. Diaz-Vargas' proof of the Riemann Hypothesis for the Goss zeta function for F p [T] depends on his verification of Carlitz's assertion for the specific case q= p [D-V]. Our proof of the general case allows