LEADER 03076nam 22004935a 450 001 9910151937203321 005 20091109150325.0 010 $a3-03719-528-2 024 70$a10.4171/028 035 $a(CKB)3710000000953803 035 $a(CH-001817-3)49-091109 035 $a(PPN)178155144 035 $a(EXLCZ)993710000000953803 100 $a20091109j20061012 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPhysics and Number Theory$b[electronic resource] /$fLouise Nyssen 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2006 215 $a1 online resource (274 pages) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v10 327 $tThe phase of oscillations and prime numbers: classical and quantum /$rMichel Planat --$tOn self-similar finitely generated uniformly discrete (SFU-)sets and sphere packings /$rJean-Louis Verger-Gaugry --$tNested quasicrystalline discretisations of the line /$rJean-Pierre Gazeau, Zuzana Masa?kova?, Edita Pelantova? --$tHopf algebras in renormalization theory: locality and Dyson-Schwinger equations from Hochschild cohomology /$rChristoph Bergbauer, Dirk Kreimer --$tFonction ? et matrices ale?atoires /$rEmmanuel Royer --$tSome recent applications of Kloostermania /$rPhilippe Michel --$tIntroduction a? la correspondance de Langlands locale /$rAriane Me?zard. 330 $aThere is a rich and historical relationship between theoretical physics and number theory. This volume presents a selection of problems which are currently in full development and inspire a lot of research going on. Each of the seven contributions starts with an introductory survey which makes it possible even for non-specialists to understand the results and to gain an idea of the great variety of subjects and techniques used. Topics covered are: phase locking in oscillating systems, crystallography, Hopf algebras and renormalisation theory, Zeta-function and random matrices, Kloosterman sums and the local Langlands correspondence. Intended for research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of recent developments in an exciting subject crossing several disciplines. 606 $aAnalytic number theory$2bicssc 606 $aQuantum physics (quantum mechanics)$2bicssc 606 $aNumber theory$2msc 606 $aConvex and discrete geometry$2msc 606 $aComputer science$2msc 606 $aQuantum theory$2msc 615 07$aAnalytic number theory 615 07$aQuantum physics (quantum mechanics) 615 07$aNumber theory 615 07$aConvex and discrete geometry 615 07$aComputer science 615 07$aQuantum theory 686 $a11-xx$a52-xx$a68-xx$a81-xx$2msc 702 $aNyssen$b Louise 801 0$bch0018173 906 $aBOOK 912 $a9910151937203321 996 $aPhysics and Number Theory$92565449 997 $aUNINA