Arithmetic Properties of 9-Regular Partitions with Distinct Odd Parts
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DOI: 10.1007/s40306-018-0274-z
Abstract: AbstractLet pod9(n)$\text {pod}_{9}(n)$, ped9(n)$\text {ped}_{9}(n)$, and A¯9(n)$\overline {A}_{9}(n)$ denote the number of 9-regular partitions of n wherein odd parts are distinct, even parts are distinct, and the number of 9-regular overpartitions of n, respectively. By… read more here.
Keywords: regular partitions; arithmetic properties; text pod; properties regular ... See more keywords
ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS
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DOI: 10.1017/s0004972721000411
Abstract: Abstract Gireesh and Mahadeva Naika [‘On 3-regular partitions in 3-colors’, Indian J. Pure Appl. Math. 50 (2019), 137–148] proved an infinite family of congruences modulo powers of 3 for the function $p_{\{3,3\}}(n)$ , the number… read more here.
Keywords: properties regular; regular partitions; arithmetic properties; three colours ... See more keywords
Arithmetic properties of 5-regular bipartitions
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DOI: 10.1142/s179304211750049x
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… read more here.
Keywords: regular bipartitions; properties regular; arithmetic properties;