LEADER 04658nam 2200709Ia 450 001 9910458472803321 005 20200520144314.0 010 $a1-282-91195-3 010 $a9786612911958 010 $a3-11-022613-8 024 7 $a10.1515/9783110226133 035 $a(CKB)2560000000053421 035 $a(EBL)655965 035 $a(OCoLC)697292998 035 $a(SSID)ssj0000434212 035 $a(PQKBManifestationID)11305885 035 $a(PQKBTitleCode)TC0000434212 035 $a(PQKBWorkID)10396258 035 $a(PQKB)10812671 035 $a(MiAaPQ)EBC655965 035 $a(DE-B1597)38319 035 $a(OCoLC)840437839 035 $a(DE-B1597)9783110226133 035 $a(Au-PeEL)EBL655965 035 $a(CaPaEBR)ebr10430502 035 $a(CaONFJC)MIL291195 035 $a(EXLCZ)992560000000053421 100 $a20100806d2010 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aCasimir force, Casimir operators, and the Riemann hypothesis$b[electronic resource] $emathematics for innovation in industry and science /$feditors, Gerrit van Dijk, Masato Wakayama 210 $aBerlin ;$aNew York $cDe Gruyter$dc2010 215 $a1 online resource (294 p.) 225 0 $aDe Gruyter Proceedings in Mathematics 300 $aDescription based upon print version of record. 311 $a3-11-022612-X 320 $aIncludes bibliographical references. 327 $t Frontmatter -- $tContents -- $tRaising the profile of mathematics -- $tCasimir and lessons for innovation -- $tMathematics in the industrial environment: Dutch perspective -- $tThe Riemann Hypothesis - a short history -- $tPairing-based cryptography and its security analysis -- $tZeta functions and Casimir energies on infinite symmetric groups II -- $tAn algorithm for generating rational points and hash functions into elliptic curves -- $tA Casimir force in dimer systems -- $tRuelle zeta function and prime geodesic theorem for hyperbolic manifolds with cusps -- $tThe dual pair (Op;q;OeSp2;2) and Maxwell's equations -- $tOn extensions of the tensor algebra -- $tFrom monoids to hyperstructures: in search of an absolute arithmetic -- $tArithmetics derived from the non-commutative harmonic oscillator -- $tHyperbolic structures and root systems -- $tMultiplicity one theorems and the Casimir operator -- $tApproaching quantization in the light of invariant differential operators -- $tInvitation to nonadditive arithmetical geometry -- $tAbsolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies -- $tThe Hilbert-Polya strategy and height pairings -- $t Backmatter 330 $aThis 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. 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