拉马努扬公式的推广

arXiv - MATH - General Mathematics Pub Date : 2024-08-17 DOI:arxiv-2408.09077

Aung Phone Maw

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引用次数: 0

摘要

我们将利用部分分数法来推广拉马努扬的一些无穷级数等式，包括拉马努扬著名的$\zeta(2n+1)$公式。在这里，我们将证明局部分数法可以用来得到许多类似的等差数列。

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Generalization of some of Ramanujan's formulae

We will make use of the method of partial fractions to generalize some of Ramanujan's infinite series identities, including Ramanujan's famous formula for $\zeta(2n+1)$. It is shown here that the method of partial fractions can be used to obtain many similar identities of this kind.

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arXiv - MATH - General Mathematics

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