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

Carmine Di Fiore; Francesco Tudisco; Paolo Zellini

doi:10.1016/j.laa.2016.02.007

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

Carmine Di Fiore, Francesco Tudisco, Paolo Zellini

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	510-526
Number of pages	17
Journal	Linear Algebra and its Applications
Volume	496
Early online date	17 Feb 2016
DOIs	https://doi.org/10.1016/j.laa.2016.02.007
Publication status	Published - 1 May 2016

Keywords

Bernoulli numbers
triangular Toeplitz matrices

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10.1016/j.laa.2016.02.007

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title = "Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers",

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.",

keywords = "Bernoulli numbers, triangular Toeplitz matrices",

author = "{Di Fiore}, Carmine and Francesco Tudisco and Paolo Zellini",

year = "2016",

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doi = "10.1016/j.laa.2016.02.007",

language = "English",

volume = "496",

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journal = "Linear Algebra and its Applications",

issn = "0024-3795",

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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

SN - 0024-3795

VL - 496

SP - 510

EP - 526

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

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

Abstract

Keywords

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