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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...
We present a generalization of the construction of graphs by Lubotzky, Phillips and Sarnak in their celebrated article "Ramanujan graphs". The new approach consists in using octonion algebras rather ...
We study the properties of a general continued fraction of Ramanujan. In some certain cases we evaluate it completely.
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。