### Abstract

Language | English |
---|---|

Pages | 510-526 |

Number of pages | 17 |

Journal | Linear Algebra and its Applications |

Volume | 496 |

Early online date | 17 Feb 2016 |

DOIs | |

Publication status | Published - 1 May 2016 |

### Fingerprint

### Keywords

- Bernoulli numbers
- triangular Toeplitz matrices

### Cite this

*Linear Algebra and its Applications*,

*496*, 510-526. https://doi.org/10.1016/j.laa.2016.02.007

}

*Linear Algebra and its Applications*, vol. 496, pp. 510-526. https://doi.org/10.1016/j.laa.2016.02.007

**Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers.** / Di Fiore, Carmine; Tudisco, Francesco; Zellini, Paolo.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers

AU - Di Fiore, Carmine

AU - Tudisco, Francesco

AU - Zellini, Paolo

PY - 2016/5/1

Y1 - 2016/5/1

N2 - 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.

AB - 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.

KW - Bernoulli numbers

KW - triangular Toeplitz matrices

U2 - 10.1016/j.laa.2016.02.007

DO - 10.1016/j.laa.2016.02.007

M3 - Article

VL - 496

SP - 510

EP - 526

JO - Linear Algebra and its Applications

T2 - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

SN - 0024-3795

ER -