Finiteness of simple holomorphic eta quotients of a given weight

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• 作者：Soumya Bhattacharya ^{soumya.bhattacharya@gmail.com}
• 关键词：primary ; 11F20 ; 11F37 ; 11F11 ; secondary ; 11G16 ; 11F12
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：21 February 2017
• 年：2017
• 卷：308
• 期：Complete
• 页码：879-895
• 全文大小：381 K
• 卷排序：308

文摘

We provide a simplified proof of Zagier's conjecture/Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none of which is an integral rescaling of another eta quotient or a product of two holomorphic eta quotients other than 1 and itself.