LEADER 03652nam 2200913z- 450 001 9910557740803321 005 20231214133253.0 035 $a(CKB)5400000000045934 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68949 035 $a(EXLCZ)995400000000045934 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumber Theory and Symmetry 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 electronic resource (206 p.) 311 $a3-03936-686-6 311 $a3-03936-687-4 330 $aAccording to Carl Friedrich Gauss (1777?1855), mathematics is the queen of the sciences?and number theory is the queen of mathematics. Numbers (integers, algebraic integers, transcendental numbers, p-adic numbers) and symmetries are investigated in the nine refereed papers of this MDPI issue. This book shows how symmetry pervades number theory. In particular, it highlights connections between symmetry and number theory, quantum computing and elementary particles (thanks to 3-manifolds), and other branches of mathematics (such as probability spaces) and revisits standard subjects (such as the Sieve procedure, primality tests, and Pascal?s triangle). The book should be of interest to all mathematicians, and physicists. 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $aquantum computation 610 $aIC-POVMs 610 $aknot theory 610 $athree-manifolds 610 $abranch coverings 610 $aDehn surgeries 610 $azeta function 610 $aPólya-Hilbert conjecture 610 $aRiemann interferometer 610 $aprime numbers 610 $aPrime Number Theorem (P.N.T.) 610 $amodified Sieve procedure 610 $abinary periodical sequences 610 $aprime number function 610 $aprime characteristic function 610 $alimited intervals 610 $alogarithmic integral estimations 610 $atwin prime numbers 610 $afree probability 610 $ap-adic number fields ?p 610 $aBanach ?-probability spaces 610 $aC*-algebras 610 $asemicircular elements 610 $athe semicircular law 610 $aasymptotic semicircular laws 610 $aKaprekar constants 610 $aKaprekar transformation 610 $afixed points for recursive functions 610 $aBaker?s theorem 610 $aGel?fond?Schneider theorem 610 $aalgebraic number 610 $atranscendental number 610 $astandard model of elementary particles 610 $a4-manifold topology 610 $aparticles as 3-Braids 610 $abranched coverings 610 $aknots and links 610 $acharge as Hirzebruch defect 610 $aumbral moonshine 610 $anumber of generations 610 $athe pe-Pascal?s triangle 610 $aLucas? result on the Pascal?s triangle 610 $acongruences of binomial expansions 610 $aprimality test 610 $aMiller?Rabin primality test 610 $astrong pseudoprimes 610 $aprimality witnesses 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aPlanat$b Michel$4edt$062676 702 $aPlanat$b Michel$4oth 906 $aBOOK 912 $a9910557740803321 996 $aNumber Theory and Symmetry$93026560 997 $aUNINA