Arithmetic properties of 5-regular bipartitions

作者:Naika M S Mahadeva*; Hemanthkumar B
来源:International Journal of Number Theory, 2017, 13(4): 937-956.
DOI:10.1142/S179304211750049X

摘要

Let B-t(n) denote the number of t-regular bipartitions of n. In this work, we establish several infinite families of congruences modulo powers of 2 and 5 for B-5( n). For example, we find that for all nonnegative integers n, i and j and r is an element of{23, 47}, B-5(2(2i+4) . 5(2j+1)n + r.2(2i+1) . 5(2j) -1/3) equivalent to 0 (mod 2(4)).

  • 出版日期2017-5