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ERRATUM TO MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION
q-series modular curve Ramanujan continued fraction
2015/7/6
This lemma is already false for k = p quite generally, and our error in the proof of the
lemma occurs in the line beginning “Evidently. . . ” (the formula given for (k, m+jk/p)
in that line is wrong...
Gould-Hsu-Carlitz反演与Rogers-Ramanujan恒等式(Ⅰ)
2007/12/13
本文将论述通过q-级数互反关系证明经典分拆恒等式的一般方法。应用Carlitz给出的Gould-Hsu反演的q-模拟,作者将建立一个重要的和式变换定理。作为例证:结合Jacobi三重积恒等式及组合计算技巧,给出Rogers-Ra-manujan恒等式一个新的简单推证。