✦ LIBER ✦

A proof of the prime number summation formula without assuming the Riemann hypothesis

✍ Scribed by I. C. Chakravartty

Publisher: Springer
Year: 1970
Tongue: English
Weight: 269 KB
Volume: 4
Category: Article
ISSN: 0001-9054
DOI: 10.1007/bf01844170

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A proof of the prime number summation fo

A proof of the prime number summation formula without assuming the Riemann hypothesis

✍ I. C. Chakravartty 📂 Article 📅 1970 🏛 Springer 🌐 English ⚖ 100 KB

A simple proof of the Prime Number Theor

A simple proof of the Prime Number Theorem

✍ S Gerig 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 208 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.

The Number of Rhombus Tilings of a “Punc

The Number of Rhombus Tilings of a “Punctured” Hexagon and the Minor Summation Formula

✍ S Okada; C Krattenthaler 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 403 KB

We compute the number of all rhombus tilings of a hexagon with sides a, b q 1, c, a q 1, b, c q 1, of which the central triangle is removed, provided a, b, c , where B ␣ , ␤, ␥ is the number of plane partitions inside the ␣ = ␤ = ␥ box. The proof uses nonintersecting lattice paths and a new identit

Proof of the minimality of the number of

Proof of the minimality of the number of nodes in the cubature formula for a hypersphere

✍ I.P. Mysovskikh 📂 Article 📅 1966 🏛 Elsevier Science ⚖ 691 KB

Riemann sums and improper integrals of s

Riemann sums and improper integrals of step functions related to the Prime Number Theorem

✍ J.S Byrnes; A Giroux; O Shisha 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 466 KB