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Arithmetic properties of OPOND partition

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we obtain some innite families of congruencesfor a new class of patrition function called as [jk] pond overpartition or OPOND partition, an integer partition of n wherein odd partsnot distinct (even parts unrestricted) and rst occurrence of each partcongruent to j modulo k may be overlined.

Abstract

we obtain some innite families of congruencesfor a new class of patrition function called as [jk] pond overpartition or OPOND partition, an integer partition of n wherein odd partsnot distinct (even parts unrestricted) and rst occurrence of each partcongruent to j modulo k may be overlined.

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