On the algebraic difference independence of Γ and ζ

被引：0
|
作者：
Lu, Feng [1 ]
机构：
[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 538卷 / 02期
关键词：
Riemann zeta function; The gamma function; Algebraic difference equation; HOLDER'S THEOREM; EQUATIONS;
D O I：
10.1016/j.jmaa.2024.128446
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper concerns the problem on algebraic difference independence of two functions which come from two different sets Gand F, respectively. The first set contains the gamma function and the other set contains Riemann zeta function. Meanwhile, a result is obtained which generalizes a theorem of Li-Tahir-Gao in [22] from the gamma function to the function in G. (c) 2024 Elsevier Inc. All rights reserved.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Algebraic independence and linear difference equations
    Adamczewski, Boris
    Dreyfus, Thomas
    Hardouin, Charlotte
    Wibmer, Michael
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2024, 26 (05) : 1899 - 1932
  • [2] On the Algebraic Difference Independence of the Euler Gamma Function G and Dirichlet Series
    Li, Xiao-Min
    Tahir, Hassan
    Gao, Xue-Yuan
    CONSTRUCTIVE APPROXIMATION, 2023, 58 (01) : 121 - 149
  • [3] Algebraic Independence of Solutions of First-Order Rational Difference Equations
    Seiji Nishioka
    Results in Mathematics, 2013, 64 : 423 - 433
  • [4] Algebraic Independence of Solutions of First-Order Rational Difference Equations
    Nishioka, Seiji
    RESULTS IN MATHEMATICS, 2013, 64 (3-4) : 423 - 433
  • [5] ALGEBRAIC INDEPENDENCE
    KNIGHT, JF
    JOURNAL OF SYMBOLIC LOGIC, 1981, 46 (02) : 377 - 384
  • [6] Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
    Chang, Chieh-Yu
    Papanikolas, Matthew A.
    Yu, Jing
    ALGEBRA & NUMBER THEORY, 2011, 5 (01) : 111 - 129
  • [7] ALGEBRAIC INDEPENDENCE AND ALGEBRAIC-GROUPS
    TUBBS, R
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1986, 302 (03): : 91 - 94
  • [8] ON ALGEBRAIC INDEPENDENCE OF ALGEBRAIC POWERS OF ALGEBRAIC-NUMBERS
    NESTERENKO, YV
    MATHEMATICS OF THE USSR-SBORNIK, 1984, 123 (3-4): : 429 - 454
  • [9] On the algebraic independence of numbers
    Nesterenko, YV
    PANORAMA IN NUMBER THEORY OR THE VIEW FROM BAKER'S GARDEN, 2002, : 148 - 167
  • [10] Algebraic independence of polynomials
    Gusic, I
    ACTA ARITHMETICA, 2000, 92 (01) : 27 - 29
12345