Calcul de la dynamique de transformations linéaires contractantes mod 1 et arbre de Farey
Calcul theorique des nombres de Stirling de Premiere espece
Calculs sur des suites récurrentes linéaires
Can a Lucas number be a sum of three repdigits?
We give the answer to the question in the title by proving that is the largest Lucas number expressible as a sum of exactly three repdigits. Therefore, there are many Lucas numbers which are sums of three repdigits.
Capturing forms in dense subsets of finite fields
An open problem of arithmetic Ramsey theory asks if given an r-colouring c:ℕ → 1,...,r of the natural numbers, there exist x,y ∈ ℕ such that c(xy) = c(x+y) apart from the trivial solution x = y = 2. More generally, one could replace x+y with a binary linear form and xy with a binary quadratic form. In this paper we examine the analogous problem in a finite field . Specifically, given a linear form L and a quadratic form Q in two variables, we provide estimates on the necessary size of to guarantee...
Carmichael numbers composed of primes from a Beatty sequence
Let α,β ∈ ℝ be fixed with α > 1, and suppose that α is irrational and of finite type. We show that there are infinitely many Carmichael numbers composed solely of primes from the non-homogeneous Beatty sequence . We conjecture that the same result holds true when α is an irrational number of infinite type.
Cartan Bernoulli Numbers as Values of L-Series.
Catalan numbers modulo .
Catalan numbers, the Hankel transform, and Fibonacci numbers.
Catalan's identity and Chebyshev polynomials of the second kind.
Catalan-Zahlen und Wege in einem ganzzahligen Gitter.
Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences
In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x 2n + y 2n , n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the first kind are presented here.
Central binomial sums, multiple Clausen values, and zeta values.
Certain matrices related to Fibonacci sequence having recursive entries.
Certain sums involving inverses of binomial coefficients and some integrals.
Character sums and products of factorials modulo
In this paper, we apply character sum estimates to study products of factorials modulo .
Characterizing Frobenius semigroups by filtration.
Chebyshev polynomials and the modulary group of level p
Choice Mappings of Certain Classes of Finite Sets.
Cholesky factorizations of matrices associated with -order recurrent sequences.