On some arithmetic properties of polynomial expressions involving Stirling numbers of the second kind
On some arithmetical properties of Lucas and Lehmer numbers
On some arithmetical properties of middle binomial coefficients
On some arithmetical properties of the Genocchi numbers and polynomials.
On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions
We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.
On some developments of the Erdős-Ginzburg-Ziv Theorem II
On some Diophantine equations involving balancing numbers
In this paper, we find all the solutions of the Diophantine equation in positive integer variables , where is the balancing number if the exponents , are included in the set .
On some Formulas Involving !n and the Verification of the !n-hypothesis by use of Computers
On some generalizations of the diophantine equation
On some identities for the Fibonomial coefficients
On some Markov matrices arising from the generalized Collatz mapping
On some new congruences for generalized Bernoulli numbers
On some non-holonomic sequences.
On Some Partition Functions Related to Some Mock Theta Functions
We show that some partitions related to two of Ramanujan's mock theta functions are related to indefinite quadratic forms and real quadratic fields. In particular, we examine a third order mock theta function and a fifth order mock theta function.
On some partitions related to .
On some problems of W. Sierpiński
On some properties of bivariate Fibonacci and Lucas polynomials.
On some properties of Chebyshev polynomials
Letting (resp. ) be the n-th Chebyshev polynomials of the first (resp. second) kind, we prove that the sequences and for n - 2⎣n/2⎦ ≤ k ≤ n - ⎣n/2⎦ are two basis of the ℚ-vectorial space formed by the polynomials of ℚ[X] having the same parity as n and of degree ≤ n. Also and admit remarkableness integer coordinates on each of the two basis.
On some properties of dispersion of block sequences of positive integers
On some special forms of simultaneous Pell equations