Casimir Force, Casimir Operators and the Riemann Hypothesis : : Mathematics for Innovation in Industry and Science / / ed. by Gerrit Dijk, Masato Wakayama.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• MitwirkendeR: 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,; Pevzner, Michael,; Sato, Hisayoshi,; Schuurmans, Martin F. H.,; Sun, Binyong,; Takagi, Tsuyoshi,; Tan, Eng Chye,; Verbitskiy, Evgeny A.,; Zhu, Chen-Bo,
• TeilnehmendeR: 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.
• HerausgeberIn: Dijk, Gerrit,; Wakayama, Masato,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2010]; ©2010
• Year of Publication: 2010
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (286 p.) :; Num. figs. and tabs.

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 Cas...

Table of 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