Casimir force, Casimir operators, and the Riemann hypothesis : mathematics for innovation in industry and science / editors, Gerrit van Dijk, Masato Wakayama.

Format:

Book

Contributor:

Dijk, Gerrit van, 1939-

Wakayama, Masato.

Series:

De Gruyter Proceedings in Mathematics

Language:

English

Subjects (All):

Casimir effect--Congresses.

Casimir effect.

Research--Mathematical models--Congresses.

Research.

Research, Industrial--Mathematical models--Congresses.

Research, Industrial.

Technological innovations--Mathematical models--Congresses.

Technological innovations.

Physical Description:

1 online resource (294 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; New York : De Gruyter, c2010.

Language Note:

English

Summary:

This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis - Mathematics for Innovation in Industry and Science" held in November 2009 in Fukuoka (Japan). The motive for the conference was the celebration of the 100th birthday of Casimir and the 150th birthday of the Riemann hypothesis. The conference focused on the following topics: Casimir operators in harmonic analysis and representation theory Number theory, in particular zeta functions and cryptography Casimir force in physics and its relation with nano-science Mathematical biology Importance of mathematics for innovation in industry The latter topic was inspired both by the call for innovation in industry worldwide and by the fact that Casimir, who was the director of Philips research for a long time in his career, had an outspoken opinion on the importance of fundamental science for industry. These proceedings are of interest both to research mathematicians and to those interested in the role science, and in particular mathematics, can play in innovation in industry.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786612911958

9781282911956

1282911953

9783110226133

3110226138

OCLC:

697292998