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...
Saved in:
| Sonstige: | |
|---|---|
| Year of Publication: | 2020 |
| Language: | English |
| Physical Description: | 1 electronic resource (206 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
993546081804498 |
|---|---|
| ctrlnum |
(CKB)5400000000045934 (oapen)https://directory.doabooks.org/handle/20.500.12854/68949 (EXLCZ)995400000000045934 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Planat, Michel edt Number Theory and Symmetry Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020 1 electronic resource (206 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier 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. English Research & information: general bicssc Mathematics & science bicssc 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 3-03936-686-6 3-03936-687-4 Planat, Michel oth |
| language |
English |
| format |
eBook |
| author2 |
Planat, Michel |
| author_facet |
Planat, Michel |
| author2_variant |
m p mp |
| author2_role |
Sonstige |
| title |
Number Theory and Symmetry |
| spellingShingle |
Number Theory and Symmetry |
| title_full |
Number Theory and Symmetry |
| title_fullStr |
Number Theory and Symmetry |
| title_full_unstemmed |
Number Theory and Symmetry |
| title_auth |
Number Theory and Symmetry |
| title_new |
Number Theory and Symmetry |
| title_sort |
number theory and symmetry |
| publisher |
MDPI - Multidisciplinary Digital Publishing Institute |
| publishDate |
2020 |
| physical |
1 electronic resource (206 p.) |
| isbn |
3-03936-686-6 3-03936-687-4 |
| illustrated |
Not Illustrated |
| work_keys_str_mv |
AT planatmichel numbertheoryandsymmetry |
| status_str |
n |
| ids_txt_mv |
(CKB)5400000000045934 (oapen)https://directory.doabooks.org/handle/20.500.12854/68949 (EXLCZ)995400000000045934 |
| carrierType_str_mv |
cr |
| is_hierarchy_title |
Number Theory and Symmetry |
| author2_original_writing_str_mv |
noLinkedField |
| _version_ |
1796652212181532673 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03554nam-a2200865z--4500</leader><controlfield tag="001">993546081804498</controlfield><controlfield tag="005">20231214133253.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr|mn|---annan</controlfield><controlfield tag="008">202105s2020 xx |||||o ||| 0|eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(CKB)5400000000045934</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(oapen)https://directory.doabooks.org/handle/20.500.12854/68949</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EXLCZ)995400000000045934</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Planat, Michel</subfield><subfield code="4">edt</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Number Theory and Symmetry</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Basel, Switzerland</subfield><subfield code="b">MDPI - Multidisciplinary Digital Publishing Institute</subfield><subfield code="c">2020</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 electronic resource (206 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Research & information: general</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics & science</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">quantum computation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">IC-POVMs</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">knot theory</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">three-manifolds</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">branch coverings</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Dehn surgeries</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">zeta function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pólya-Hilbert conjecture</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Riemann interferometer</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">prime numbers</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Prime Number Theorem (P.N.T.)</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">modified Sieve procedure</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">binary periodical sequences</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">prime number function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">prime characteristic function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">limited intervals</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">logarithmic integral estimations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">twin prime numbers</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">free probability</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">p-adic number fields ℚp</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Banach ∗-probability spaces</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">C*-algebras</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">semicircular elements</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">the semicircular law</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">asymptotic semicircular laws</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Kaprekar constants</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Kaprekar transformation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">fixed points for recursive functions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Baker’s theorem</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Gel’fond–Schneider theorem</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">algebraic number</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">transcendental number</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">standard model of elementary particles</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">4-manifold topology</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">particles as 3-Braids</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">branched coverings</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">knots and links</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">charge as Hirzebruch defect</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">umbral moonshine</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">number of generations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">the pe-Pascal’s triangle</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lucas’ result on the Pascal’s triangle</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">congruences of binomial expansions</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">primality test</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Miller–Rabin primality test</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">strong pseudoprimes</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">primality witnesses</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-03936-686-6</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-03936-687-4</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Planat, Michel</subfield><subfield code="4">oth</subfield></datafield><datafield tag="906" ind1=" " ind2=" "><subfield code="a">BOOK</subfield></datafield><datafield tag="ADM" ind1=" " ind2=" "><subfield code="b">2023-12-15 05:48:45 Europe/Vienna</subfield><subfield code="f">system</subfield><subfield code="c">marc21</subfield><subfield code="a">2022-04-04 09:22:53 Europe/Vienna</subfield><subfield code="g">false</subfield></datafield><datafield tag="AVE" ind1=" " ind2=" "><subfield code="i">DOAB Directory of Open Access Books</subfield><subfield code="P">DOAB Directory of Open Access Books</subfield><subfield code="x">https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338107070004498&Force_direct=true</subfield><subfield code="Z">5338107070004498</subfield><subfield code="b">Available</subfield><subfield code="8">5338107070004498</subfield></datafield></record></collection> |