The irreducibility of the Bessel polynomials

被引:0
|
作者
Filaseta, M [1 ]
Trifonov, O [1 ]
机构
[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the early 1950's, Emil Grosswald began investigating the irreducibility of the Bessel polynomials y(n) (x) and conjectured the irreducibility of y(n) (x) over the rationals for all positive integers n. This paper resolves the conjecture by establishing the irreducibility of a class of polynomials that includes the Bessel polynomials.
引用
收藏
页码:125 / 140
页数:16
相关论文
共 50 条
  • [41] IRREDUCIBILITY OF POLYNOMIALS ON FINITE BODY
    AGOU, S
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1977, 292 : 191 - 195
  • [42] Irreducibility of polynomials with a large gap
    Sawin, Will
    Shusterman, Mark
    Stoll, Michael
    ACTA ARITHMETICA, 2020, 192 (02) : 111 - 139
  • [43] On the irreducibility of the generalized Laguerre polynomials
    Filaseta, M
    Lam, TY
    ACTA ARITHMETICA, 2002, 105 (02) : 177 - 182
  • [44] Irreducibility of some Faber polynomials
    P. Guerzhoy
    The Ramanujan Journal, 2008, 16 : 53 - 57
  • [45] DISCRIMINANTS AND THE IRREDUCIBILITY OF A CLASS OF POLYNOMIALS
    DEAYALA, OM
    LECTURE NOTES IN COMPUTER SCIENCE, 1986, 228 : 178 - 181
  • [46] IRREDUCIBILITY OF POLYNOMIALS WITH A LARGE COEFFICIENT
    Kwon, DoYong
    HONAM MATHEMATICAL JOURNAL, 2019, 41 (03): : 651 - 659
  • [47] Irreducibility of some orthogonal polynomials
    Akhtari, Sh.
    Saradha, N.
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2011, 21 (3-4): : 127 - 137
  • [48] IRREDUCIBILITY OF CERTAIN BERNOULLI POLYNOMIALS
    MCCARTHY, PJ
    AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (04): : 352 - &
  • [49] Apollonius circles and irreducibility criteria for polynomials
    Bonciocat, Anca Iuliana
    Bonciocat, Nicolae Ciprian
    Bugeaud, Yann
    Cipu, Mihai
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2022, 33 (02): : 421 - 439
  • [50] IRREDUCIBILITY OF POLYNOMIALS TAKING SMALL VALUES
    TVERBERG, H
    MATHEMATICA SCANDINAVICA, 1973, 32 (01) : 5 - 21