Zobrazeno 1 - 10
of 16
pro vyhledávání: '"QIDUAN YANG"'
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
Autor:
Lindsey Reinholz, Qiduan Yang
Publikováno v:
Rendiconti del Seminario Matematico della Università di Padova. 148:23-49
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a21835b628c489b8988c4ac3696a4012
https://doi.org/10.4171/rsmup/105
https://doi.org/10.4171/rsmup/105
Autor:
REINHOLZ, LINDSEY, QIDUAN YANG
Publikováno v:
Rendiconti del Seminario Matematico della Universita di Padova; 2022, Vol. 148, p23-49, 27p
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:
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
Publikováno v:
Communications in Algebra. 43:1784-1790
We give an infinite family of intersective polynomials with Galois group A 4, the alternating group on four letters.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2bfbc52ed3103ee8eb29907784b02499
https://doi.org/10.1080/00927872.2013.876037
https://doi.org/10.1080/00927872.2013.876037
Publikováno v:
Colloquium Mathematicum. 138:271-282
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1eca101f4a0a1e92abba97a74bfad1b3
https://doi.org/10.4064/cm138-2-11
https://doi.org/10.4064/cm138-2-11
Publikováno v:
Journal of Number Theory. 133:318-327
A method is given for generating families of non-congruent numbers with arbitrarily many prime factors. We then use this method to construct an infinite set of new families of these numbers with prime factors of the form 8 k + 3 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a92a1b60a00f811e19aef536b3d77337
https://doi.org/10.1016/j.jnt.2012.07.011
https://doi.org/10.1016/j.jnt.2012.07.011