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

Carmine Di Fiore, Francesco Tudisco, Paolo Zellini

Research output: Contribution to journalArticle

Abstract

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.
Original languageEnglish
Pages (from-to)510-526
Number of pages17
JournalLinear Algebra and its Applications
Volume496
Early online date17 Feb 2016
DOIs
Publication statusPublished - 1 May 2016

Keywords

  • Bernoulli numbers
  • triangular Toeplitz matrices

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