Farey sequences

被引：0
|
作者：
S. B. Stechkin
机构：
[1] Russian Academy of Sciences,V. A. Steklov Mathematics Institute
来源：
Mathematical Notes | 1997年 / 61卷
关键词：
Farey sequence; zeta function; Tauberian theorem; Möbius inversion formula; Franel's formula; Riemann hypothesis; asymptotic law of primes;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The connection between the distribution of the terms of a Farey sequence and the behavior of the Riemann zeta function is studied.
引用
收藏
页码：76 / 95
页数：19
相关论文
共 50 条
  • [1] Farey sequences
    Stechkin, SB
    [J]. MATHEMATICAL NOTES, 1997, 61 (1-2) : 76 - 95
  • [2] PRIMES AND FAREY SEQUENCES
    MARSHALL, A
    [J]. TRANSACTIONS OF THE WISCONSIN ACADEMY SCIENCES ARTS AND LETTERS, 1974, 62 : 245 - 246
  • [3] On the index of Farey sequences
    Boca, FP
    Zaharescu, A
    Gologan, RN
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 2002, 53 : 377 - 391
  • [4] PROPERTY OF QUADRATIC FAREY SEQUENCES
    YAJIMA, A
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (01): : 25 - 28
  • [5] Farey sequences and resistor networks
    SAMEEN AHMED KHAN
    [J]. Proceedings - Mathematical Sciences, 2012, 122 : 153 - 162
  • [6] On the distribution of index of Farey sequences
    Chahal, Bittu
    Chaubey, Sneha
    Goel, Shivani
    [J]. RESEARCH IN NUMBER THEORY, 2024, 10 (02)
  • [7] Farey Sequences for Thin Groups
    Lutsko, Christopher
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (15) : 11642 - 11689
  • [8] A SEMIGROUP RELATED TO FAREY SEQUENCES
    PEDERSEN, A
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1992, 99 (04): : 370 - 370
  • [9] Farey sequences and resistor networks
    Khan, Sameen Ahmed
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2012, 122 (02): : 153 - 162
  • [10] FAREY SEQUENCES OF FIBONACCI NUMBERS
    ALLADI, K
    [J]. FIBONACCI QUARTERLY, 1975, 13 (01): : 1 - 10
12345