ramanujan微分方程解的自同构及其它结果

Pub Date : 2018-06-20 DOI:10.2206/KYUSHUJM.75.77

Matthew Randall

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引用次数: 2

摘要

第一部分证明了拉马努金微分方程解的自同构定理。我们还研究了该结果的可能应用。第二部分证明了参数为$k=\frac{3}{2}$的广义Chazy方程一阶微分方程组解的自同构的一个类似定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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AUTOMORPHISM OF SOLUTIONS TO RAMANUJAN'S DIFFERENTIAL EQUATIONS AND OTHER RESULTS

In part one we prove a theorem about the automorphism of solutions to Ramanujan's differential equations. We also investigate possible applications of the result. In part two we prove a similar theorem about the automorphism of solutions to the first-order system of differential equations associated to the generalised Chazy equation with parameter $k=\frac{3}{2}$.

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