Casimir force, Casimir operators, and the Riemann hypothesis : mathematics for innovation in industry and science /

Casimir force, Casimir operators, and the Riemann hypothesis : mathematics for innovation in industry and science / editors, Gerrit van Dijk, Masato Wakayama. - Berlin ; New York : De Gruyter, ©2010. - 1 online resource (viii, 286 pages) : illustrations - De Gruyter Proceedings in Mathematics . - Proceedings in mathematics. .

Includes bibliographical references.

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.

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 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.


In English.

9783110226133 3110226138 1282911953 9781282911956 9786612911958 6612911956

10.1515/9783110226133 doi



1007279036 DE-101


Casimir effect--Congresses.
Research--Mathematical models--Congresses.
Research, Industrial--Mathematical models--Congresses.
Technological innovations--Mathematical models--Congresses.
Effet Casimir--Congrès.
Recherche--Modèles mathématiques--Congrès.
Recherche industrielle--Modèles mathématiques--Congrès.
Innovations--Modèles mathématiques--Congrès.
MATHEMATICS--Number Theory.
Casimir effect
Research, Industrial--Mathematical models
Research--Mathematical models
Technological innovations--Mathematical models
Casimir-Effekt
Casimir-Operator
Riemannsche Vermutung


Fukuoka <2009>


Conference papers and proceedings
Kongress.

Q180.55.M38 / C37 2010eb

512.7/3

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