Results 11 to 20 of about 1,408,509 (103)
On two new identities concerning the q-integers and several divisibility properties for these integers [PDF]
, 2023 In this paper, we first prove two new identities concerning the q-integers and then for these integers we derive several divisibility properties based on these identities and on properties of the q ...
İpek, Ahmet
core +1 more source
q-deformed integers derived from pairs of coprime integers and its applications [PDF]
, 2022 In connection with cluster algebras, snake graphs and q-integers, Kyungyong Lee and Ralf Schiffler recently found a formula for computing the (normalized) Jones polynomials of rational links in terms of continued fraction expansion of rational numbers ...
Wakui, Michihisa
core +1 more source
High relative accuracy with matrices of q-integers [PDF]
, 2021 This article shows that the bidiagonal decomposition of many important matrices of q-integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices ...
Peña J.M., Delgado J., Orera H.
core +1 more source
The q-integers and the Mersenne numbers [PDF]
, 2018 Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-
Sparavigna, Amelia Carolina +1 more
core +1 more source
ON THE ADDITIVE GROUP OF q-INTEGERS [PDF]
, 2018 Here we will show that the q-integers, that we can find in the q-calculus, are forming an additive group having a generalized sum, which is similar to sum of the Tsallis q-entropy of two independent systems.The full citation for this Article is ...
Sparavigna, Amelia Carolina +1 more
core +1 more source
On the generalized sum of the symmetric q-integers [PDF]
, 2018 Here we will show that the symmetric q-integers of the q-calculus have a generalized sum which is also the generalized sum that we find in the \kappa-calculus proposed by G. Kaniadakis.The full citation for this Article is: Sparavigna, A. C. (2018).
Sparavigna, Amelia Carolina +1 more
core +1 more source
Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]
, 2021 This work is a first step towards a theory of "$q$-deformed complex numbers".Assuming the invariance of the $q$-deformation under the action of the modulargroup I prove the existence and uniqueness of the operator of translationsby~$i$ compatible with ...
Valentin Ovsienko, Ovsienko, Valentin
core +1 more source
Rational operators based on q-integers [PDF]
, 2017 Shepard-type rational operators based on q-integers are studied and convergence results and pointwise approximation error estimates improving previous statements are obtained.
Umberto Amato +3 more
core +1 more source
Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
core +1 more source
A q-analogue of granville’s congruence
, 2022 In this paper, we establish a q-analogue of Granville’s congruence as follows: ∑p−1 k=1 xk ≡1− xp − (x; q)p p (p − 1) (1 − q) + x [k]q [p]q 2 (mod [p]q ), for any real number x and odd prime p. Here [n]q = 1 + q + q2 + … + qn−1 and (x; q)n = (1 − x) (1 −
Ömür, N., Elkhiri, L., Koparal, S.
core +1 more source