Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Blair K. Spearman"'
Autor:
Blair K. Spearman, Kenneth S. Williams
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 69, Pp 3817-3820 (2004)
The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quintic polynomial f(x) is explicitly determined in terms of a generator for the quadratic subfield of the splitting field of f(x) .
Externí odkaz:
https://doaj.org/article/c8d81906a5cd4016b707314a5b98b536
Autor:
Blair K. Spearman, Kenneth S. Williams
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 25, Pp 1623-1626 (2003)
Externí odkaz:
https://doaj.org/article/53423f36465c457cbb3e5e8d10d3b702
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2007 (2007)
A criterion for a prime to be a common index divisor of a dihedral field of prime degree is given. This criterion is used to determine the index of families of dihedral fields of degrees 5 and 7.
Externí odkaz:
https://doaj.org/article/3d19c2d12da94fa5be514941109e5327
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
We give the explicit decomposition of the principal ideal 〈p〉 (p prime) in a cubic field.
Externí odkaz:
https://doaj.org/article/1c88121ac18d4f55aaac06259a62d485
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 9, Iss 4, Pp 665-704 (1986)
For primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2).
Externí odkaz:
https://doaj.org/article/aa9cfd6b2fa144509b79f67e41b24f33
Publikováno v:
International Journal of Number Theory. 14:669-692
New families of even non-congruent numbers with arbitrarily many distinct prime factors are presented. Methods for generating even non-congruent numbers from existing non-congruent numbers are also given. These results yield new even non-congruent nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4cc96e69946b1ca453e2a2669d9c6dea
https://doi.org/10.1142/s1793042118500422
https://doi.org/10.1142/s1793042118500422
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 30:991-996
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae2b5e0084defa7e25ee0cf0c1f841ba
https://doi.org/10.5802/jtnb.1061
https://doi.org/10.5802/jtnb.1061
Publikováno v:
Funct. Approx. Comment. Math. 58, no. 1 (2018), 69-77
A technique for generating new families of non-congruent numbers by appending a tail of primes to extend known families of non-congruent numbers is presented. These new non-congruent numbers are comprised of arbitrarily many prime factors belonging t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ac46e3044fde551d6ff0301ca71eda6
https://projecteuclid.org/euclid.facm/1490688029
https://projecteuclid.org/euclid.facm/1490688029
Publikováno v:
Manuscripta Mathematica. 150:521-531
For a certain semi-direct product, we construct a 3-cover, consisting of three subgroups, the union of whose conjugates equals the whole group, while the intersection of the conjugates is trivial. This enables a classification of a new family of inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64301ae0bac279ee1de25f3727d4255b
https://doi.org/10.1007/s00229-015-0811-1
https://doi.org/10.1007/s00229-015-0811-1
Publikováno v:
Archiv der Mathematik. 106:35-40
The minimal index of a pure cubic field was shown to assume arbitrarily large values by M. Hall. In this paper we extend this result by showing that every cubefree integer occurs as the minimal index of infinitely many pure cubic fields.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c7480fbcfe770d903a7e37fefa3d8ce
https://doi.org/10.1007/s00013-015-0812-z
https://doi.org/10.1007/s00013-015-0812-z