Ramanujan's Cubic Continued fractions

introduction

\({1 \over 1+} {q+q^2 \over 1+} {q^4 \over 1+} {q^3+q^6 \over 1+}{q^8 \over 1+\cdots} =\frac{(q^{1};q^{8})_{\infty}(q^{7};q^{8})_{\infty}}{(q^{3};q^{8})_{\infty}(q^{5};q^{8})_{\infty}}\)

 

history

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

 

 

encyclopedia

• http://en.wikipedia.org/wiki/
• http://www.scholarpedia.org/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

books

 

• 2010년 books and articles
  
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

[[4909919|]]

 

 

articles

• On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
  
  • [1]C. Adiga, T. Kim, M.S.Mahadeva Naika, H. S. Madhusudhan, 2005
    

• RAMANUJAN’S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
  
  • HEI-CHI CHAN
    
• A NEW PROOF FOR TWO IDENTITIES INVOLVING RAMANUJAN’S CUBIC CONTINUED FRACTION
  
  • HEI-CHI CHAN
    
• On Ramanujan’s cubic continued fraction
  
  • Heng Huat Chan (Urbana, Ill.)
    

 

http://www.emis.de/journals/ETNA/vol.25.2006/pp158-165.dir/pp158-165.pdf

 

 

Ramanujan's class invariants and cubic continued fraction

Berndt, 1995

• http://www.ams.org/mathscinet
• [2]http://www.zentralblatt-math.org/zmath/en/
• http://arxiv.org/
• http://www.pdf-search.org/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• http://dx.doi.org/

 

 

question and answers(Math Overflow)

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• http://mathoverflow.net/search?q=

 

 

blogs

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• http://ncatlab.org/nlab/show/HomePage

 

 

experts on the field

• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• 수식표현 안내
• The On-Line Encyclopedia of Integer Sequences
• http://functions.wolfram.com/