Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593689 | Journal of Number Theory | 2015 | 13 Pages |
Abstract
Let A3(n)A3(n) denote the number of bipartitions of n that are 3-cores. By employing Ramanujan's simple theta function identities, we prove that A3(2n+1)=13 σ(6n+5), where σ(n)σ(n) denotes the sum of the positive divisors of n . We also find several infinite families of arithmetic identities and congruences for A3(n)A3(n), which include generalizations of some recent results on A3(n)A3(n) by B.L.S. Lin (2014) [6].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nayandeep Deka Baruah, Kallol Nath,