CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS

被引：2

作者：

Naika, M. S. Mahadeva ^{[1
]}

Hemanthkumar, B. ^{[1
]}

Bharadwaj, H. S. Sumanth ^{[1
]}

机构：

[1] Bangalore Univ, Dept Math, Cent Coll Campus, Bengaluru 560001, Karnataka, India

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 93卷 / 03期

关键词：

congruence; partition; theta function;

D O I：

10.1017/S0004972715001367

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let b(3,5)(n) denote the number of partitions of n into parts that are not multiples of 3 or 5. We establish several infinite families of congruences modulo 2 for b(3,5)(n). In the process, we also prove numerous parity results for broken 7-diamond partitions.

引用

页码：400 / 409

页数：10

共 50 条

[1] Congruences modulo powers of 2 for a certain partition function
Hei-Chi Chan
Shaun Cooper
[J]. The Ramanujan Journal, 2010, 22 : 101 - 117
[2] Congruences modulo powers of 2 for a certain partition function
Chan, Hei-Chi
Cooper, Shaun
[J]. RAMANUJAN JOURNAL, 2010, 22 (01): : 101 - 117
[3] SOME RESTRICTED PARTITION FUNCTIONS - CONGRUENCES MODULO-2
LAHIRI, DB
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 147 (01) : 271 - &
[4] Congruences for ℓ-regular partition functions modulo 3
David Furcy
David Penniston
[J]. The Ramanujan Journal, 2012, 27 : 101 - 108
[5] CONGRUENCES MODULO POWERS OF 11 FOR SOME PARTITION FUNCTIONS
Wang, Liuquan
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (04) : 1515 - 1528
[6] Congruences for l-regular partition functions modulo 3
Furcy, David
Penniston, David
[J]. RAMANUJAN JOURNAL, 2012, 27 (01): : 101 - 108
[7] SOME RESTRICTED PARTITION FUNCTIONS - CONGRUENCES MODULO-3
LAHIRI, DB
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 28 (03) : 575 - &
[8] SOME RESTRICTED PARTITION FUNCTIONS - CONGRUENCES MODULO-7
LAHIRI, DB
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 140 (JUN) : 475 - &
[9] Families of congruences for fractional partition functions modulo powers of primes
Baruah, Nayandeep Deka
Das, Hirakjyoti
[J]. RESEARCH IN NUMBER THEORY, 2021, 7 (04)
[10] Families of congruences for fractional partition functions modulo powers of primes
Nayandeep Deka Baruah
Hirakjyoti Das
[J]. Research in Number Theory, 2021, 7

← 1 2 3 4 5 →