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Let Bt(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 B5(n). For example,… Click to show full abstract
Let Bt(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 B5(n). For example, we find that for all nonnegative integers n, i and j and r ∈{23, 47}, B5 22i+4 ⋅ 52j+1n + r ⋅ 22i+1 ⋅ 52j − 1 3 ≡ 0(mod24).
Keywords:
regular bipartitions;
properties regular;
arithmetic properties
Journal Title: International Journal of Number Theory
Year Published: 2017
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Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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recommendations!