Number Theory and Symmetry
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 b...
محفوظ في:
| التنسيق: | Online |
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| اللغة: | الإنجليزية |
| منشور في: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
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| الموضوعات: | |
| الوصول للمادة أونلاين: | ONIX_20210501_9783039366866_695 |
| الوسوم: |
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| _version_ | 1869527478063595520 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-68949 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-689492024-03-28T03:32:27Z Number Theory and Symmetry Planat, Michel quantum computation IC-POVMs knot theory three-manifolds branch coverings Dehn surgeries zeta function Pólya-Hilbert conjecture Riemann interferometer prime numbers Prime Number Theorem (P.N.T.) modified Sieve procedure binary periodical sequences prime number function prime characteristic function limited intervals logarithmic integral estimations twin prime numbers free probability p-adic number fields ℚp Banach ∗-probability spaces C*-algebras semicircular elements the semicircular law asymptotic semicircular laws Kaprekar constants Kaprekar transformation fixed points for recursive functions Baker’s theorem Gel’fond–Schneider theorem algebraic number transcendental number standard model of elementary particles 4-manifold topology particles as 3-Braids branched coverings knots and links charge as Hirzebruch defect umbral moonshine number of generations the pe-Pascal’s triangle Lucas’ result on the Pascal’s triangle congruences of binomial expansions primality test Miller–Rabin primality test strong pseudoprimes primality witnesses thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:33:24Z 2021-05-01T15:33:24Z 2020 book ONIX_20210501_9783039366866_695 9783039366866 9783039366873 https://directory.doabooks.org/handle/20.500.12854/68949 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2717 https://mdpi.com/books/pdfview/book/2717 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-687-3 10.3390/books978-3-03936-687-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039366866 9783039366873 206 Basel, Switzerland open access |
| spellingShingle | quantum computation IC-POVMs knot theory three-manifolds branch coverings Dehn surgeries zeta function Pólya-Hilbert conjecture Riemann interferometer prime numbers Prime Number Theorem (P.N.T.) modified Sieve procedure binary periodical sequences prime number function prime characteristic function limited intervals logarithmic integral estimations twin prime numbers free probability p-adic number fields ℚp Banach ∗-probability spaces C*-algebras semicircular elements the semicircular law asymptotic semicircular laws Kaprekar constants Kaprekar transformation fixed points for recursive functions Baker’s theorem Gel’fond–Schneider theorem algebraic number transcendental number standard model of elementary particles 4-manifold topology particles as 3-Braids branched coverings knots and links charge as Hirzebruch defect umbral moonshine number of generations the pe-Pascal’s triangle Lucas’ result on the Pascal’s triangle congruences of binomial expansions primality test Miller–Rabin primality test strong pseudoprimes primality witnesses thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Number Theory and Symmetry |
| title | Number Theory and Symmetry |
| title_full | Number Theory and Symmetry |
| title_fullStr | Number Theory and Symmetry |
| title_full_unstemmed | Number Theory and Symmetry |
| title_short | Number Theory and Symmetry |
| title_sort | number theory and symmetry |
| topic | quantum computation IC-POVMs knot theory three-manifolds branch coverings Dehn surgeries zeta function Pólya-Hilbert conjecture Riemann interferometer prime numbers Prime Number Theorem (P.N.T.) modified Sieve procedure binary periodical sequences prime number function prime characteristic function limited intervals logarithmic integral estimations twin prime numbers free probability p-adic number fields ℚp Banach ∗-probability spaces C*-algebras semicircular elements the semicircular law asymptotic semicircular laws Kaprekar constants Kaprekar transformation fixed points for recursive functions Baker’s theorem Gel’fond–Schneider theorem algebraic number transcendental number standard model of elementary particles 4-manifold topology particles as 3-Braids branched coverings knots and links charge as Hirzebruch defect umbral moonshine number of generations the pe-Pascal’s triangle Lucas’ result on the Pascal’s triangle congruences of binomial expansions primality test Miller–Rabin primality test strong pseudoprimes primality witnesses thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | quantum computation IC-POVMs knot theory three-manifolds branch coverings Dehn surgeries zeta function Pólya-Hilbert conjecture Riemann interferometer prime numbers Prime Number Theorem (P.N.T.) modified Sieve procedure binary periodical sequences prime number function prime characteristic function limited intervals logarithmic integral estimations twin prime numbers free probability p-adic number fields ℚp Banach ∗-probability spaces C*-algebras semicircular elements the semicircular law asymptotic semicircular laws Kaprekar constants Kaprekar transformation fixed points for recursive functions Baker’s theorem Gel’fond–Schneider theorem algebraic number transcendental number standard model of elementary particles 4-manifold topology particles as 3-Braids branched coverings knots and links charge as Hirzebruch defect umbral moonshine number of generations the pe-Pascal’s triangle Lucas’ result on the Pascal’s triangle congruences of binomial expansions primality test Miller–Rabin primality test strong pseudoprimes primality witnesses thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039366866_695 |