Divisors of a Quadratic Form with Primes

被引：3
|
作者：
Korolev, M. A. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2018年 / 303卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
SHORT KLOOSTERMAN SUMS; FIELDS;
D O I：
10.1134/S0081543818080138
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain an asymptotic formula for the average number of divisors of the quadratic form A(x, y, z) = xy + xz + yz, where x, y, and z run through prime numbers from the interval X <x,y,z 2X.
引用
收藏
页码：154 / 170
页数：17
相关论文
共 50 条
  • [1] Divisors of a Quadratic Form with Primes
    M. A. Korolev
    Proceedings of the Steklov Institute of Mathematics, 2018, 303 : 154 - 170
  • [2] On divisors of a quadratic form
    Calderón, C
    de Velasco, MJ
    BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 2000, 31 (01): : 81 - 91
  • [3] On divisors of a quadratic form
    C. Calderón
    M. J. de Velasco
    Boletim da Sociedade Brasileira de Matemática, 2000, 31 : 81 - 91
  • [4] The sum of divisors of a quadratic form
    Zhao, Lilu
    ACTA ARITHMETICA, 2014, 163 (02) : 161 - 177
  • [5] On the number of divisors of a quaternary quadratic form
    Liu, Huafeng
    Hu, Liqun
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (05) : 1219 - 1235
  • [6] On a ternary quadratic form over primes
    Fouvry, Etienne
    Shparlinski, Igor E.
    ACTA ARITHMETICA, 2011, 150 (03) : 285 - 314
  • [7] An asymptotic formula related to the divisors of the quaternary quadratic form
    Hu, Liqun
    ACTA ARITHMETICA, 2014, 166 (02) : 129 - 140
  • [8] Divisors of Shifted Primes
    Koukoulopoulos, Dimitris
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (24) : 4585 - 4627
  • [9] On the divisors of shifted primes
    De Koninck, Jean-Marie
    Katai, Imre
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (02) : 998 - 1004
  • [10] Divisors of shifted primes
    Indlekofer, KH
    Timofeev, NM
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2002, 60 (3-4): : 307 - 345
12345