Casimir Force, Casimir Operators and the Riemann Hypothesis : Mathematics for Innovation in Industry and Science.

By: Ciucu, MihaiContributor(s): Connes, Alain | Consani, Caterina | Deninger, Christopher | Hakuta, Keisuke | Heckman, Gert | Kimoto, Kazufumi | Koyama, Shin-Ya | Dijk, Gerrit Van | Wakayama, MasatoMaterial type: TextTextSeries: De Gruyter Proceedings in Mathematics SerPublisher: Berlin/Boston : De Gruyter, Inc., 2010Copyright date: ©2010Description: 1 online resource (286 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783110226133Subject(s): Casimir effect -- Congresses | Research -- Mathematical models -- Congresses | Research, Industrial -- Mathematical models -- Congresses | Technological innovations -- Mathematical models -- CongressesGenre/Form: Electronic books.Additional physical formats: Print version:: Casimir Force, Casimir Operators and the Riemann Hypothesis : Mathematics for Innovation in Industry and ScienceDDC classification: 512.73 LOC classification: Q180.55.M38 -- C37 2010ebOnline resources: Click to View
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.
Summary: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
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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.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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