03650nam 2200925z- 450 991055774080332120210501(CKB)5400000000045934(oapen)https://directory.doabooks.org/handle/20.500.12854/68949(oapen)doab68949(EXLCZ)99540000000004593420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNumber Theory and SymmetryBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online 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.Mathematics & sciencebicsscResearch & information: generalbicssc4-manifold topologyalgebraic numberasymptotic semicircular lawsBaker's theoremBanach ∗-probability spacesbinary periodical sequencesbranch coveringsbranched coveringsC*-algebrascharge as Hirzebruch defectcongruences of binomial expansionsDehn surgeriesfixed points for recursive functionsfree probabilityGel'fond-Schneider theoremIC-POVMsKaprekar constantsKaprekar transformationknot theoryknots and linkslimited intervalslogarithmic integral estimationsLucas' result on the Pascal's triangleMiller-Rabin primality testmodified Sieve procedurenumber of generationsp-adic number fields ℚpparticles as 3-BraidsPólya-Hilbert conjectureprimality testprimality witnessesprime characteristic functionprime number functionPrime Number Theorem (P.N.T.)prime numbersquantum computationRiemann interferometersemicircular elementsstandard model of elementary particlesstrong pseudoprimesthe pe-Pascal's trianglethe semicircular lawthree-manifoldstranscendental numbertwin prime numbersumbral moonshinezeta functionMathematics & scienceResearch & information: generalPlanat Micheledt62676Planat MichelothBOOK9910557740803321Number Theory and Symmetry3026560UNINA