Dijk / Wakayama Casimir Force, Casimir Operators and the Riemann Hypothesis

Mathematics for Innovation in Industry and Science
1. Auflage 2010
ISBN: 978-3-11-022613-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 294 Seiten

Reihe: De Gruyter Proceedings in Mathematics

Zielgruppe

Researchers, Graduate Students; Academic Libraries

Autoren/Hrsg.

Dijk, Gerrit

Dijk, Gerrit van

Wakayama, Masato

Weitere Mitwirkende

Ciucu, Mihai

Connes, Alain

Consani, Caterina

Deninger, Christopher

Hakuta, Keisuke

Haran, Shai M. J.

Heckman, Gert

Howe, Roger

Itoh, Minoru

Kimoto, Kazufumi

Koyama, Shin-Ya

Kurokawa, Nobushige

Looijenga, Eduard

Lu, Dan

Ochiai, Hiroyuki

Park, Jinsung

Patterson, Samuel J.

Pevzner, Michael

Sato, Hisayoshi

Schuurmans, Martin F. H.

Sun, Binyong

Takagi, Tsuyoshi

Tan, Eng Chye

Verbitskiy, Evgeny A.

Zhu, Chen-Bo

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

Frontmatter
Contents
Raising the profile of mathematics
Casimir and lessons for innovation
Mathematics in the industrial environment: Dutch perspective
The Riemann Hypothesis – a short history
Pairing-based cryptography and its security analysis
Zeta functions and Casimir energies on infinite symmetric groups II
An algorithm for generating rational points and hash functions into elliptic curves
A Casimir force in dimer systems
Ruelle zeta function and prime geodesic theorem for hyperbolic manifolds with cusps
The dual pair (Op;q;OeSp2;2) and Maxwell’s equations
On extensions of the tensor algebra
From monoids to hyperstructures: in search of an absolute arithmetic
Arithmetics derived from the non-commutative harmonic oscillator
Hyperbolic structures and root systems
Multiplicity one theorems and the Casimir operator
Approaching quantization in the light of invariant differential operators
Invitation to nonadditive arithmetical geometry
Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies
The Hilbert–Polya strategy and height pairings
Backmatter

Über Autor(innen)

Gerrit van Dijk, Leiden University, Netherlands; Masato Wakayama, Kyushu University, Fukuoka, Japan.