Polynomials with small discriminants and regular systems of real algebraic numbers

被引：0
|
作者：
Bernik V.I. [1 ]
Kukso O.S. [1 ]
机构：
[1] Institute of Mathematics, Byelorussian Academy of Sciences, Minsk
来源：
Journal of Mathematical Sciences | 2006年 / 137卷 / 2期
关键词：
Algebraic Number; Minimal Polynomial; Zero Approximation; Regular System; Transcendental Number;
D O I：
10.1007/s10958-006-0257-9
中图分类号：
学科分类号：
摘要：
The distribution of special algebraic numbers is studied, and an optimal regular system is constructed. Bibliography: 11 titles. © 2006 Springer Science+Business Media, Inc.
引用
收藏
页码：4612 / 4616
页数：4
相关论文
共 50 条
  • [11] Construction of polynomials having small discriminants
    Simon, D
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (06): : 465 - 468
  • [12] A few remarks on the discriminants of an algebraic body of numbers.
    Schur, I
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1932, 167 : 264 - 269
  • [13] EXTREMAL REAL ALGEBRAIC GEOMETRY AND A-DISCRIMINANTS
    Dickenstein, Alicia
    Rojas, J. Maurice
    Rusek, Korben
    Shih, Justin
    MOSCOW MATHEMATICAL JOURNAL, 2007, 7 (03) : 425 - 452
  • [14] On approximation of real numbers by real algebraic numbers
    Beresnevich, V
    ACTA ARITHMETICA, 1999, 90 (02) : 97 - 112
  • [15] On denominators of algebraic numbers and integer polynomials
    Arno, S
    Robinson, ML
    Wheeler, FS
    JOURNAL OF NUMBER THEORY, 1996, 57 (02) : 292 - 302
  • [16] On approximation to real numbers by algebraic numbers
    Tishchenko, KI
    ACTA ARITHMETICA, 2000, 94 (01) : 1 - 24
  • [17] Expansion of real numbers by algebraic numbers
    Hajime, Kaneko
    DIOPHANTINE ANALYSIS AND RELATED FIELDS - DARF 2007/2008, 2008, 976 : 111 - 117
  • [18] Minimal polynomials of algebraic numbers with rational parameters
    Dilcher, Karl
    Noble, Rob
    Smyth, Chris
    ACTA ARITHMETICA, 2011, 148 (03) : 281 - 308
  • [19] Total polynomials in algebraic sets of numbers.
    Polya, G
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1919, 149 (1/4): : 97 - 116
  • [20] Hurwitz numbers for real polynomials
    Itenberg, Ilia
    Zvonkine, Dimitri
    COMMENTARII MATHEMATICI HELVETICI, 2018, 93 (03) : 441 - 474
12345