Congruences modulo 8 for $$(2,\, k)$$ ( 2 , k ) -regular overpartitions for odd $$k > 1$$ k > 1

Author:

Adiga Chandrashekar,Naika M. S. Mahadeva,Ranganatha D.ORCID,Shivashankar C.

Funder

University Grants Commission (UGC-BSR Fellowship)

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

1. Adiga, C.; Berndt, B.C.; Bhargava, S.; Watson, G.N.: Chapter 16 of Ramanujan’s second notebook: theta functions and $$q$$ q -series. Mem. Am. Math. Soc. 315, 1–91 (1985)

2. Adiga, C.; Ranganatha, D.: Congruences modulo powers of 2 for $$\ell $$ ℓ -regular overpartitions. J. Ramanujan Math. Soc. 32, 147–163 (2017)

3. Alanazi, A.M.; Munagi, A.O.; Sellers, J.A.: An infinite family of congruences for $$\ell $$ ℓ -regular overpartitions. Integers 16, #A37 (2016)

4. Chen, S.C.: On the number of overpartitions into odd parts. Discrete Math. 325, 32–37 (2014)

5. Corteel, S.; Lovejoy, J.: Overpartitions. Trans. Am. Math. Soc. 356, 1623–1635 (2004)

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2. Infinite families of congruences for m-regular [j,k]-overpartitions in two colors;Advanced Studies: Euro-Tbilisi Mathematical Journal;2022-09-01

3. Congruences for $$[j, k]-$$overpartitions with even parts distinct;Boletín de la Sociedad Matemática Mexicana;2022-05-19

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