The generating function of the $\sigma_1$ function

Jingbo Wang

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The generating function of the σ₁ function

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arxiv 1102.1155 v1 pith:OFKKYVDU submitted 2011-02-06 math.NT

The generating function of the σ₁ function

Jingbo Wang This is my paper

classification math.NT

keywords functionsigmagivesomeclassicalconnectionconnectionsfind

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In this paper, we give a generate function for the $\sigma_1$ function. Then we find some connections between the $\sigma_1$ function and the Ramanujan's tau function. We hope this connection will give some insights into the unsolved problems in classical number theory.

The generating function of the σ₁ function

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