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Arithmetic of infinite products and Rogers-Ramanujan continued fractions

구자경|김대열|Yilmaz Simsek
대한수학회 (The Korean Mathematical Society)|2007.07|대한수학회논문집 (Communications of the KMS)|제22권 제3호|pp. 331-351

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참고문헌 (24)

  1. G. E. Andrews, "An introduction to Ramanujan's lost notebook" (1979)
  2. "On the simplication of some identities of the Rogers-Ramanujan type" (1951)
  3. "Ramanujan's Notebooks V" (1997), Springer-Verlag
  4. "Some theorems on the Rogers -Ramanujan continued fraction in Ramanujan's lost notebook", 352, pp.2157~2177 (2000)
  5. "Some values for the Rogers-Ramanujan continued frac-tion", 47, pp.897~914 (1995)
  6. "Explicit evaluations of the Rogers-Ramanujan continued fraction", 480, pp.141~159 (1996)
  7. "On the irrationality of a certain q series", 127, pp.1605~1613 (1999)
  8. "Ramanujan's evaluations of the Rogers-Ramanujan type continued frac-tions at primitive roots of unity", 80, pp.49~60 (1997)
  9. "Generators and equations for modular function elds of principal congruencesubgroups", 85, pp.197~207 (1998), Acta Arith.85
  10. "Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's lost notebook", 3, pp.91~111 (1999)
  11. "Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujancontinued fraction and theta functions", 90, pp.49~68 (1999)
  12. "Algebraic integer as values of elliptic functions", 100, pp.105~116 (2001)
  13. "On the innite products derived from theta series I", 44, pp.55~107 (2007)
  14. "Units in the modular function elds" (1975)
  15. "Tata Institute of Fundamental Research", mes(tebooks) (1957)
  16. "On two theorems of combinatory analysis and some allied identities" (1917)
  17. "Second memoir on the expansion of certain innite products" (1894)
  18. "Finite Rogers-Ramanujan type identities", 10, pp.1~122 (2003)
  19. "The Arithmetic of Elliptic Curves" (1986), Springer -Verlag
  20. "A new proof Roger's transformations of series" (1951)
  21. "Further identities of the Rogers-Ramanujan type" (1952)
  22. "Cubic identities of theta functions", 2, pp.303~316 (1998)
  23. "Some theta function identities related to Rogers-Ramanujan continued fraction", 126, pp.2895~2902 (1998)
  24. "A course of modern analysis", Cambridge Press

관련 논문AI추천

Ramanujan's Continued Fraction, a Generalization and PartitionsBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호A Note on an Analogous Continued Fraction of RamanujanBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호Identities for the Rogers-Ramanujan continued fractionNayandeep Deka Baruah, Pranjal Talukdar대한수학회 · 대한수학회지2025 · 제62권 제1호On the infinite products derived from theta series I구자경, 김대열대한수학회 · 대한수학회지2007 · 제44권 제1호Explicit evaluations of Ramanujan's remarkable product of theta-functionM. C. Maheshkumar, M. S. M. Naika장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제2호

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