논문KCI 등재
A short proof of an identity for cubic partition function
대한수학회 (The Korean Mathematical Society)|2011.10|대한수학회논문집 (Communications of the KMS)|제26권 제4호|pp. 551-555
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this note, we will give a short proof of an identity for cubic partition function.
Abstract
In this note, we will give a short proof of an identity for cubic partition function.
참고문헌 (9)
- H.-C. Chan, "Ramanujan's cubic continued fraction and an analog of his \most beautiful identity", Int. J. Number Theory, 3, pp.673~680 (2010)
- H.-C. Chan, "Ramanujan's cubic continued fraction and Ramanujan type congruences for a ceratin partition function", Int. J. Number Theory, 6(4), pp.819~834 (2010)
- H.-C. Chan, "A new proof of two identities involving Ramanujan's cubic continued fraction", Ramanujan J, 21(2), pp.173~180 (2010)
- B. Gordon, "Ramanujan congruence for q(n), Analytic number theory (Philadelphia, Pa., 1980)", Lecture Notes in Math, 899, pp.333~359 (1981), Springer
- B. Kim, "A crank analog on a certain kind of partition function arising from the cubic continued fraction" (2008), preprint
- G. Ligozat, "Courbes modulaires de genre 1", Memoires de la Societe Mathematique de France, 43, pp.5~80 (1975)
- M. Newman, "Constructions and applications of a class of modular functions II", Proc. London Math. Soc, 9(3), pp.373~381 (1959)
- G. N.Watson, "Beweis von Ramanujans Vermutungen uber Zerfallungsanzahlen", J. Reine und Angew. Math, 179, pp.97~128 (1938)
- X. H. Xiong, "bic partition modulo powers of 5", arXiv:math.NT, pp.1004~4737
관련 논문AI추천
ON PARTITION CONGRUENCES FOR OVERCUBIC PARTITION PAIRS김병찬대한수학회 · 대한수학회논문집2012 · 제27권 제3호CONGRUENCES MODULO LARGE POWERS OF 3 FOR 3ℓ-REGULAR CUBIC BIPARTITIONM. S. MAHADEVA NAIKA, S. Shivaprasada Nayaka장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호Cubic partition pairs weighted by the parity of the crank김병찬강원경기수학회 · 한국수학논문집2015 · 제23권 제4호On $3^k$-regular cubic partitionsHirakjyoti Das, Nayandeep Deka Baruah대한수학회 · 대한수학회지2022 · 제59권 제4호IDENTITIES FOR 3-CORE AND 5-CORE PARTITIONS박윤경대한수학회 · 대한수학회지2014 · 제51권 제2호On the existence of Graham partitions with congruence conditions김병찬, 김지영, 박부성, 이상준, 이종규대한수학회 · 대한수학회보2022 · 제59권 제1호
이 간행물의 다른 논문 (16건)
Bipolar fuzzy a-ideals of BCI-algebras전영배, 이경자pp. 531-542Free algebras over a poset in varietiesAldo Figallo, Jr., Alicia Zilianipp. 543-549Quasi-Armendariz property for skew polynomial ringsMuhittin Ba(특수문자)er, 곽태근pp. 557-573On the convergence of a Newton-like method under weak conditionsIoannis K. Argyros, Hongmin Renpp. 575-584Jordan (φ, ψ)-derivations in JB^*-triplesAbbas Najati, Mohammad Sal Moslehianpp. 585-589
