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Subjects
11-XX Number theory
11Bxx Sequences and sets
11B39 Fibonacci and Lucas numbers and polynomials and generalizations

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Displaying 1 – 10 of 10

Netted matrices.

Stănică, Pantelimon (2003)

International Journal of Mathematics and Mathematical Sciences

New Ramanujan-type formulas and quasi-Fibonacci numbers of order 7.

Wituła, Roman, Słota, Damian (2007)

Journal of Integer Sequences [electronic only]

Nombres de Bell et analyse $p$ -adique

Daniel Barsky (1975/1976)

Groupe de travail d'analyse ultramétrique

Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire

Gilles Robert (1978)

Annales scientifiques de l'École Normale Supérieure

Noncirculant Toeplitz matrices all of whose powers are Toeplitz

Kent Griffin, Jeffrey L. Stuart, Michael J. Tsatsomeros (2008)

Czechoslovak Mathematical Journal

Let $a$ , $b$ and $c$ be fixed complex numbers. Let $M_{n} (a, b, c)$ be the $n \times n$ Toeplitz matrix all of whose entries above the diagonal are $a$ , all of whose entries below the diagonal are $b$ , and all of whose entries on the diagonal are $c$ . For $1 \leq k \leq n$ , each $k \times k$ principal minor of $M_{n} (a, b, c)$ has the same value. We find explicit and recursive formulae for the principal minors and the characteristic polynomial of $M_{n} (a, b, c)$ . We also show that all complex polynomials in $M_{n} (a, b, c)$ are Toeplitz matrices. In particular, the inverse of $M_{n} (a, b, c)$ is a Toeplitz matrix when...

Non-possibility to prove infinity of regular primes form some theorems.

Ladislav Skula (1977)

Journal für die reine und angewandte Mathematik

Note on a Shannon's theorem concerning the Fibonacci numbers and Diophantine quadruples

Morgado, José (1991)

Portugaliae mathematica

Note on Legendre numbers.

Sitaramachandrarao, R., Davis, B.R. (1988)

International Journal of Mathematics and Mathematical Sciences

Note on the Chebyshev polynomials and applications to the Fibonacci numbers.

Morgado, José (1995)

Portugaliae Mathematica

Note on the local growth of iterated polynomials.

John W. Layman, Bruce Landman (1984)

Aequationes mathematicae

Currently displaying 1 – 10 of 10

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