SQUARES IN ARITHMETIC PROGRESSIONS

被引：18
|
作者：
BOMBIERI, E
GRANVILLE, A
PINTZ, J
机构：
[1] HUNGARIAN ACAD SCI,INST MATH,H-1364 BUDAPEST,HUNGARY
[2] UNIV GEORGIA,DEPT MATH,ATHENS,GA 30602
来源：
DUKE MATHEMATICAL JOURNAL | 1992年 / 66卷 / 03期
关键词：
D O I：
10.1215/S0012-7094-92-06612-9
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：369 / 385
页数：17
相关论文
共 50 条
  • [1] Simultaneous squares from arithmetic progressions
    Widmer, H
    Franco, Z
    AMERICAN MATHEMATICAL MONTHLY, 1999, 106 (09): : 867 - 868
  • [2] A set of squares without arithmetic progressions
    Gyarmati, Katalin
    Ruzsa, Imre Z.
    ACTA ARITHMETICA, 2012, 155 (01) : 109 - 115
  • [3] A note on squares in arithmetic progressions, II
    Bombieri, Enrico
    Zannier, Umberto
    Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2002, 13 (02): : 69 - 75
  • [4] On a conjecture of Rudin on squares in arithmetic progressions
    Gonzalez-Jimenez, Enrique
    Xarles, Xavier
    LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 2014, 17 (01): : 58 - 76
  • [5] Arithmetic progressions of squares and multiple Dirichlet series
    Hulse, Thomas A.
    Kuan, Chan Ieong
    Lowry-Duda, David
    Walker, Alexander
    MATHEMATISCHE ZEITSCHRIFT, 2024, 307 (04)
  • [6] Lattice points on circles, squares in arithmetic progressions and sumsets of squares
    Cilleruelo, Javier
    Granville, Andrew
    ADDITIVE COMBINATORICS, 2007, 43 : 241 - +
  • [7] DISTANCE BETWEEN ARITHMETIC PROGRESSIONS AND PERFECT SQUARES
    Chan, Tsz Ho
    MATHEMATIKA, 2011, 57 (01) : 41 - 49
  • [8] Squares in Arithmetic Progressions and Infinitely Many Primes
    Granville, Andrew
    AMERICAN MATHEMATICAL MONTHLY, 2017, 124 (10): : 951 - 954
  • [9] Parity of sums of partition numbers and squares in arithmetic progressions
    Cristina Ballantine
    Mircea Merca
    The Ramanujan Journal, 2017, 44 : 617 - 630
  • [10] Parity of sums of partition numbers and squares in arithmetic progressions
    Ballantine, Cristina
    Merca, Mircea
    RAMANUJAN JOURNAL, 2017, 44 (03): : 617 - 630
12345