Casimir Force, Casimir Operators and the Riemann Hypothesis
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Casimir Force, Casimir Operators and the Riemann Hypothesis

  1. 294 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Casimir Force, Casimir Operators and the Riemann Hypothesis

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About This Book

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.

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Yes, you can access Casimir Force, Casimir Operators and the Riemann Hypothesis by Gerrit Dijk, Masato Wakayama in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2010
ISBN
9783110226133
Edition
1
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

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