Computing the zeros of the partial sums of the Riemann zeta function

被引:0
|
作者
G. Mora
J. M. Sepulcre
机构
[1] University of Alicante,Department of Mathematical Analysis
关键词
Zeros of entire functions; Exponential polynomials ; Partial sums of the Riemann Zeta function; 30Axx; 30Dxx;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riemann zeta function inside infinitely many rectangles of the critical strips where they are situated.
引用
收藏
页码:1499 / 1504
页数:5
相关论文
共 50 条
  • [1] Computing the zeros of the partial sums of the Riemann zeta function
    Mora, G.
    Sepulcre, J. M.
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (05) : 1499 - 1504
  • [2] Zeros of partial sums of the Riemann zeta function
    Borwein, Peter
    Fee, Greg
    Ferguson, Ron
    van der Waall, Alexa
    [J]. EXPERIMENTAL MATHEMATICS, 2007, 16 (01) : 21 - 39
  • [3] Zeros of Partial Sums of the Riemann Zeta-Function
    Gonek, Steven M.
    Ledoan, Andrew H.
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (10) : 1775 - 1791
  • [4] Zeros of Partial Sums of the Square of the Riemann Zeta-Function
    Crosby, Kathryn
    Eliseo, Jordan
    Ledoan, Andrew
    Mazowiecki, David
    [J]. COLLABORATIVE MATHEMATICS AND STATISTICS RESEARCH, 2015, 109 : 51 - 65
  • [5] On the zeros of sums of the Riemann zeta function
    Ki, Haseo
    [J]. JOURNAL OF NUMBER THEORY, 2008, 128 (09) : 2704 - 2755
  • [6] On the asymptotically uniform distribution of the zeros of the partial sums of the Riemann zeta function
    Mora, G.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (01) : 120 - 128
  • [7] A note on the real projection of the zeros of partial sums of Riemann zeta function
    Dubon, E.
    Mora, G.
    Sepulcre, J. M.
    Ubeda, J. I.
    Vidal, T.
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2014, 108 (02) : 317 - 333
  • [8] A note on the real projection of the zeros of partial sums of Riemann zeta function
    E. Dubon
    G. Mora
    J. M. Sepulcre
    J. I. Ubeda
    T. Vidal
    [J]. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 : 317 - 333
  • [9] About the infimum of the real parts of the zeros of the partial sums of the Riemann Zeta function
    Balazard, Michel
    Castanon, Oswaldo Velasquez
    [J]. COMPTES RENDUS MATHEMATIQUE, 2009, 347 (7-8) : 343 - 346
  • [10] On the zeros of the partial sums of the Fibonacci zeta function
    G. Mora
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117