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.
LanguageEnglish
Pages510-526
Number of pages17
JournalLinear Algebra and its Applications
Volume496
Early online date17 Feb 2016
DOIs
Publication statusPublished - 1 May 2016

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Bernoulli numbers
Otto Toeplitz
Ramanujan
Linear equations
Triangular
Toeplitz System
Triangular Systems
System of Linear Equations
Linear equation

Keywords

  • Bernoulli numbers
  • triangular Toeplitz matrices

Cite this

Di Fiore, Carmine ; Tudisco, Francesco ; Zellini, Paolo. / Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers. In: Linear Algebra and its Applications. 2016 ; Vol. 496. pp. 510-526.
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Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers. / Di Fiore, Carmine; Tudisco, Francesco; Zellini, Paolo.

In: Linear Algebra and its Applications, Vol. 496, 01.05.2016, p. 510-526.

Research output: Contribution to journalArticle

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