NEW RAMANUJAN TYPE CONGRUENCE MODULO 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS-Reference-Cited by-同舟云学术

NEW RAMANUJAN TYPE CONGRUENCE MODULO 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS

Published:2014-03-18 Issue:03 Volume:10 Page:637-639
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

LIN BERNARD L. S.¹

Affiliation:

1. School of Sciences, Jimei University, Xiamen, 361021, P. R. China

Abstract

In this brief note, we prove one unexpected Ramanujan type congruence modulo 7 for the number cϕ4(n) of generalized Frobenius partitions of n with four colors.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042113501133

Reference10 articles.

1. Memoirs of the American Mathematical Society;Andrews G. E.,1984

2. Congruences for generalized Frobenius partitions with 4 colors

3. Number Theory in the Spirit of Ramanujan

4. Computational proofs of congruences for 2-colored Frobenius partitions

5. An extension of a congruence by Andrews for generalized frobenius partitions

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Shimura lift and congruences for modular forms with the eta multiplier;Advances in Mathematics;2024-06

2. Some congruences for 12-coloured generalized Frobenius partitions;Proceedings of the Edinburgh Mathematical Society;2024-05-02

3. The method of constant terms and k-colored generalized Frobenius partitions;Journal of Combinatorial Theory, Series A;2024-04

4. Generalized Frobenius partitions, Motzkin paths, and Jacobi forms;Journal of Combinatorial Theory, Series A;2022-08

5. Congruences for generalized Frobenius partitions with 6 colors;Rocky Mountain Journal of Mathematics;2022-06-01