论自然数写成 $7a^2 + b^2$ 形式的方法数

arXiv - MATH - General Mathematics Pub Date : 2024-08-03 DOI:arxiv-2408.01763

Aung Phone Maw

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引用次数: 0

摘要

我们推导出 q 同数，给出了与除数函数有关的某些 q 序列的无限积表示。利用无穷积表示法，我们可以得出一个自然数可以写成 $7a^2 + b^2$ 形式的公式。

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On the Number of Ways a Natural Number Can Be Written in the Form $7a^2 + b^2$

We derive q-identities giving the infinite product representation of certain q-series related to divisor functions. Using the infinite product representation, we are able to arrive at the formula which gives us the number of ways a natural number can be written in the form $7a^2 + b^2$.

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arXiv - MATH - General Mathematics

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