NEW EFFECTIVE RESULTS IN THE THEORY OF THE RIEMANN ZETA-FUNCTION

被引：0
作者：
Simonic, Aleksander [1 ]
机构：
[1] Univ New South Wales Canberra, Sch Sci, Campbell, ACT 2612, Australia
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年 / 109卷 / 02期
关键词：
Riemann zeta-function; Dirichlet L-functions; Selberg class; Mertens function; square-free numbers; Riemann Hypothesis; generalised Riemann Hypothesis; band-limited functions; explicit results;
D O I：
10.1017/S0004972723001132
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：403 / 406
页数：4
相关论文
共 18 条
  • [1] Bounding ζ (s) in the critical strip
    Carneiro, Emanuel
    Chandee, Vorrapan
    [J]. JOURNAL OF NUMBER THEORY, 2011, 131 (03) : 363 - 384
  • [2] Chirre A., 2023, IN PRESS
  • [3] Cully-Hugill M., 2023, IN PRESS
  • [4] On the error term in the explicit formula of Riemann-von Mangoldt
    Cully-Hugill, Michaela
    Johnston, Daniel R.
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2023, 19 (06) : 1205 - 1228
  • [5] Fujii A., 2004, COMMENTARII MATH U S, V53, P85
  • [6] Fujii A., 2006, COMMENT MATH U ST PA, V55, P135
  • [7] On the logarithmic derivatives of Dirichlet L-functions at s=1
    Ihara, Yasutaka
    Murty, V. Kumar
    Shimura, Mahoro
    [J]. ACTA ARITHMETICA, 2009, 137 (03) : 253 - 276
  • [8] Lee E. S., 2023, IN PRESS
  • [9] Littlewood J E, 1912, CR HEBD ACAD SCI, V154, P263
  • [10] Montgomery H L., 1981, RECENT PROGR ANAL NU, V1, P247
12