03652nam 2200913z- 450 991055774080332120231214133253.0(CKB)5400000000045934(oapen)https://directory.doabooks.org/handle/20.500.12854/68949(EXLCZ)99540000000004593420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNumber Theory and SymmetryBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (206 p.)3-03936-686-6 3-03936-687-4 According 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.Research & information: generalbicsscMathematics & sciencebicsscquantum computationIC-POVMsknot theorythree-manifoldsbranch coveringsDehn surgerieszeta functionPólya-Hilbert conjectureRiemann interferometerprime numbersPrime Number Theorem (P.N.T.)modified Sieve procedurebinary periodical sequencesprime number functionprime characteristic functionlimited intervalslogarithmic integral estimationstwin prime numbersfree probabilityp-adic number fields ℚpBanach ∗-probability spacesC*-algebrassemicircular elementsthe semicircular lawasymptotic semicircular lawsKaprekar constantsKaprekar transformationfixed points for recursive functionsBaker’s theoremGel’fond–Schneider theoremalgebraic numbertranscendental numberstandard model of elementary particles4-manifold topologyparticles as 3-Braidsbranched coveringsknots and linkscharge as Hirzebruch defectumbral moonshinenumber of generationsthe pe-Pascal’s triangleLucas’ result on the Pascal’s trianglecongruences of binomial expansionsprimality testMiller–Rabin primality teststrong pseudoprimesprimality witnessesResearch & information: generalMathematics & sciencePlanat Micheledt62676Planat MichelothBOOK9910557740803321Number Theory and Symmetry3026560UNINA