pentagonal number theorem

Summary

pentagonal number theorem is a theorem^[1]. It draws 71 Wikipedia views per month (theorem category, ranking #231 of 1,306).^[2]

Key Facts

• pentagonal number theorem's instance of is recorded as theorem^[3].
• pentagonal number theorem's part of is recorded as list of theorems^[4].
• pentagonal number theorem's Freebase ID is recorded as /m/01x_mc^[5].
• pentagonal number theorem's defining formula is recorded as \prod_{n=1}^{\infty}\left(1-x^{n}\right)=\sum_{k=-\infty}^{\infty}\left(-1\right)^{k}x^{k\left(3k-1\right)/2}=1+\sum_{k=1}^\infty(-1)^k\left(x^{k(3k+1)/2}+x^{k(3k-1)/2}\right)^[6].
• pentagonal number theorem's studied by is recorded as number theory^[7].
• pentagonal number theorem's MathWorld ID is recorded as PentagonalNumberTheorem^[8].
• pentagonal number theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[9].
• pentagonal number theorem's Microsoft Academic ID is recorded as 34140744^[10].

Why It Matters

pentagonal number theorem draws 71 Wikipedia views per month (theorem category, ranking #231 of 1,306).^[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.^[11]