Zobrazeno 1 - 10 of 108 pro vyhledávání: '"H. E. Cohn"'
1
Akademický článek
The Diophantine equation x2+2k=yn, II
Autor: J. H. E. Cohn
Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 22, Iss 3, Pp 459-462 (1999)
New results regarding the full solution of the diophantine equation x2+2k=yn in positive integers are obtained. These support a previous conjecture, without providing a complete proof.
Externí odkaz: https://doaj.org/article/3fd112e00fff40939aada93dc445a4de
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3
Elektronická kniha
Exploring University Mathematics : Lectures Given at Bedford College, London
Autor: P. Chadwick, J. R. Ellis, J. H. E. Cohn, N. J. Hardiman
Exploring University Mathematics 1 provides information pertinent to pure and applied mathematics. This book discusses a variety of topics, including sets and functions, relativity, integers, waves, isometric problems, and digital computers. Organize
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5
The Diophantine equation Dx2+22m+1=yn
Autor: J. H. E. Cohn
Publikováno v: Colloquium Mathematicum. 98:147-154
It is shown that for a given squarefree positive integer D, the equation of the title has no solutions in integers x > 0, m > 0, n 3 and y odd, nor unless D 14 (mod 16) in integers x > 0, m = 0, n 3, y > 0, provided in each case that n does not divid
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::020e9bd8fbae38879cae913f72e5be75
https://doi.org/10.4064/cm98-2-1
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6
[Untitled]
Autor: J. H. E. Cohn
Publikováno v: Periodica Mathematica Hungarica. 44:169-175
Let a and b given unequal positive integers; it is desired to determine the positive integer solutions n and x of the equation of the title. Some special cases have recently been considered, and here some general results and conjectures are presented
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dc4e40f86a41a86d38f11dc42725583c
https://doi.org/10.1023/a:1019688312555
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8
The Diophantine equation 𝑥⁴+1=𝐷𝑦²
Autor: J. H. E. Cohn
Publikováno v: Mathematics of Computation. 66:1347-1351
An effective method is derived for solving the equation of the title in positive integers x x and y y for given D D completely, and is carried out for all D > 100000 D>100000 . If D D is of the form m 4 + 1 m^4+1 , then there is the solution x = m x=
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::08b85faade1815381acf834f82611f65
https://doi.org/10.1090/s0025-5718-97-00851-x
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9
Complex D-optimal designs
Autor: J. H. E. Cohn
Publikováno v: Discrete Mathematics. 156:237-241
Bounds are obtained for γ ( n ), the maximum absolute value taken by the determinant of all n × n matrices whose entries are fourth roots of unity, and a connection between such matrices and real D-optimal designs demonstrated.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11310629aee7de48ec4c6ec92b3e6d1a
https://doi.org/10.1016/0012-365x(96)00035-0
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