Journal of applied mathematics & informatics

  • 제42권4호
  • /
  • Pages.969-983
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  • 2024
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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DIVISIBILITY AND ARITHMETIC PROPERTIES OF CERTAIN ℓ-REGULAR OVERPARTITION PAIRS

  • ANUSREE ANAND (Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University) ;
  • S.N. FATHIMA (Department of Mathematics, Ramanujan School of Mathematical Sciences, Pondicherry University) ;
  • M.A. SRIRAJ (Department of Mathematics, Vidyavardhaka College of Engineering) ;
  • P. SIVA KOTA REDDY (Department of Mathematics, JSS Science and Technology University)
  • 투고 : 2024.02.13
  • 심사 : 2024.05.12
  • 발행 : 2024.07.30
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초록

For an integer ℓ ≥ 1, let ${\bar{B}}_{\ell}(n)$ denotes the number of ℓ-regular over partition pairs of n. For certain conditions of ℓ, we study the divisibility of ${\bar{B}}_{\ell}(n)$ and arithmetic properties for ${\bar{B}}_{\ell}(n)$. We further obtain infinite family of congruences modulo 2t satisfied by ${\bar{B}}_3(n)$ employing a result of Ono and Taguchi (2005) on nilpotency of Hecke operators.

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과제정보

We would like to thank the anonymous reviewers for their constructive suggestions.

참고문헌

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