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A short proof of an identity for cubic partition function

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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)

  1. 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)
  2. 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)
  3. H.-C. Chan, "A new proof of two identities involving Ramanujan's cubic continued fraction", Ramanujan J, 21(2), pp.173~180 (2010)
  4. B. Gordon, "Ramanujan congruence for q(n), Analytic number theory (Philadelphia, Pa., 1980)", Lecture Notes in Math, 899, pp.333~359 (1981), Springer
  5. B. Kim, "A crank analog on a certain kind of partition function arising from the cubic continued fraction" (2008), preprint
  6. G. Ligozat, "Courbes modulaires de genre 1", Memoires de la Societe Mathematique de France, 43, pp.5~80 (1975)
  7. M. Newman, "Constructions and applications of a class of modular functions II", Proc. London Math. Soc, 9(3), pp.373~381 (1959)
  8. G. N.Watson, "Beweis von Ramanujans Vermutungen uber Zerfallungsanzahlen", J. Reine und Angew. Math, 179, pp.97~128 (1938)
  9. X. H. Xiong, "bic partition modulo powers of 5", arXiv:math.NT, pp.1004~4737

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