直觉与潜意识（二） (6-3)

Returned to Caen, I meditated on this result and deduced the consequences. The example of quadratic forms showed me that there were Fuchsian groups other than those corresponding to the hypergeometric series; I saw that I could apply to them the theory of theta-Fuchsian series and that consequently there existed Fuchsian functions other than those from the hypergeometric series, the ones I then knew. Naturally I set myself to form all these functions. I made a systematic attack upon them and carried all the outworks, one after another. There was one, however, that still held out, whose fall would involve that of the whole place. But all my efforts only served at first the better to show me the difficulty, which indeed was something. All this work was perfectly conscious.

回到卡昂后，我对这个结果进行了思考，并推导出了结果。二次型的例子告诉我，除了超几何级数对应的群之外，还存在 Fuchsian 群；我发现我可以将 theta-Fuchsian 级数的理论应用于它们，并且因此，除了来自超几何级数的函数之外，还存在我当时知道的 Fuchsian 函数。很自然地，我构造出了所有的这些函数。我对他们进行了系统的攻破并一个接一个地承担了所有的工作。然而，还存在着一个问题，解决不了它会使所有努力白费。但是，我所有的那些仅在一开始时起作用的努力，使我更清楚地看到了困难，这的确是件了不起的事。所有这些工作都是在完全有意识的情况下进行的。

Thereupon I left for Mont-Valérien, where I was to go through my military service; so I was very differently occupied. One day, going along the street, the solution of the difficulty which had stopped me suddenly appeared to me. I did not try to go deep into it immediately, and only after my service did I again take up the question. I had all the elements and had only to arrange them and put them together. So I wrote out my final memoir at a single stroke and without difficulty.

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