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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2023.6
- 수록면
- 155 - 166 (12page)
- DOI
- 10.5666/KMJ.2023.63.2.155
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초록· 키워드
오류제보하기
n 2018, Andrews introduced the partition functions EO(n) and EO(n). The first of these denotes the number of partitions of n in which every even part is less than each odd part, and the second counts the number of partitions enumerated by the first in which only the largest even part appears an odd number of times. In 2021, Pore and Fathima introduced a new partition function E Oe(n) which counts the number of parti tions of n which are enumerated by E O(n) together with the partitions enumerated by E O(n) where all parts are odd and the number of parts is even. They also proved some particular congruences for E O(n) and E Oe(n). In this paper, we establish infinitely many families of congruences modulo 2, 4, 5 and 8 for E O(n) and modulo 4 for E Oe(n).
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