On Ramanujan-type congruences for multiplicative functions

被引：0
|
作者：
Craig, William [1 ]
Merca, Mircea [2 ]
机构：
[1] Univ Virginia, Dept Math, Kerchof Hall 112,141 Cabell Dr, Charlottesville, VA 22903 USA
[2] Univ Craiova, Dept Math, Craiova 200585, Romania
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 03期
关键词：
Congruences; Ramanujan-type congruences; Multiplicative functions;
D O I：
10.1007/s13398-022-01272-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of Ramanujan-type congruences for functions specific to additive number theory has a long and rich history. Motivated by recent connections between divisor sums and overpartitions via congruences in arithmetic progressions, we investigate the existence and classification of Ramanujan-type congruences for functions in multiplicative number theory.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] On Ramanujan-type congruences for multiplicative functions
    William Craig
    Mircea Merca
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [2] RAMANUJAN-TYPE CONGRUENCES FOR SEVERAL PARTITION FUNCTIONS
    Zhang, Wenlong
    Wang, Chun
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (03) : 641 - 652
  • [3] Ramanujan-type congruences for certain generating functions
    Chen, Shi-Chao
    [J]. LITHUANIAN MATHEMATICAL JOURNAL, 2013, 53 (04) : 381 - 390
  • [4] Ramanujan-type congruences for certain generating functions
    Shi-Chao Chen
    [J]. Lithuanian Mathematical Journal, 2013, 53 : 381 - 390
  • [5] Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights
    Raum, Martin
    [J]. FORUM MATHEMATICUM, 2023, 35 (03) : 615 - 646
  • [6] Ramanujan-type congruences for overpartitions modulo 16
    Chen, William Y. C.
    Hou, Qing-Hu
    Sun, Lisa H.
    Zhang, Li
    [J]. RAMANUJAN JOURNAL, 2016, 40 (02): : 311 - 322
  • [7] Ramanujan-type congruences for overpartitions modulo 5
    Chen, William Y. C.
    Sun, Lisa H.
    Wang, Rong-Hua
    Zhang, Li
    [J]. JOURNAL OF NUMBER THEORY, 2015, 148 : 62 - 72
  • [8] Relations among Ramanujan-type congruences I
    Raum, Martin
    [J]. ADVANCES IN MATHEMATICS, 2022, 409
  • [9] Ramanujan-type congruences for overpartitions modulo 16
    William Y. C. Chen
    Qing-Hu Hou
    Lisa H. Sun
    Li Zhang
    [J]. The Ramanujan Journal, 2016, 40 : 311 - 322
  • [10] RAMANUJAN-TYPE CONGRUENCES FOR OVERPARTITIONS MODULO 3
    Zhang, Li
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) : 2257 - 2264
12345