"Ramanujan's Cubic Continued fractions"의 두 판 사이의 차이

2010년 7월 22일 (목) 04:31 판

\({1 \over 1+} {q+q^2 \over 1+} {q^{2}+a^{4} \over 1+} {q^3+q^6 \over 1+}{\cdots} \)

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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, ACTA ARITHMETICA. LXXIII.4 (1995)

Ramanujan's class invariants and cubic continued fraction

Berndt, 1995

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-<math>{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}}</math>
+<math>{1 \over 1+} {q+q^2 \over 1+} {q^{2}+a^{4} \over 1+} {q^3+q^6 \over 1+}{\cdots} </math>
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 *  A NEW PROOF FOR TWO IDENTITIES INVOLVING RAMANUJAN’S CUBIC CONTINUED FRACTION<br>
 **  HEI-CHI CHAN<br>
-*  On Ramanujan’s cubic continued fraction<br>
+* [http://matwbn.icm.edu.pl/ksiazki/aa/aa73/aa7343.pdf On Ramanujan’s cubic continued fraction]<br>
-**  Heng Huat Chan (Urbana, Ill.)<br>
+**  Heng Huat Chan, ACTA ARITHMETICA. LXXIII.4 (1995)<br>
 http://www.emis.de/journals/ETNA/vol.25.2006/pp158-165.dir/pp158-165.pdf