Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers

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• 作者：Carmine Di Fiore^a ; ^{difiore@mat.uniroma2.it" class="auth_mail" title="E-mail the corresponding author} ; Francesco Tudisco^b ; Paolo Zellini^a
• 关键词：11B68 ; 11Y55 ; 15A06 ; 15A09 ; 15A24 ; 15B05 ; 15B99 ; 65F05
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：496
• 期：Complete
• 页码：510-526
• 全文大小：372 K

文摘

We prove that the Bernoulli numbers satisfy some special lower triangular Toeplitz systems of linear equations. One of these systems has a strong link with eleven Ramanujan's linear equations satisfied by the first eleven Bernoulli numbers.