Results 21 to 30 of about 4,707,750 (299)

Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.
Bărcănescu Şerban
doaj   +1 more source

Average value of the divisor class numbers of real cubic function fields

Open Mathematics, 2023
We compute an asymptotic formula for the divisor class numbers of real cubic function fields Km=k(m3){K}_{m}=k\left(\sqrt[3]{m}), where Fq{{\mathbb{F}}}_{q} is a finite field with qq elements, q≡1(mod3)q\equiv 1\hspace{0.3em}\left(\mathrm{mod}\hspace{0 ...
Lee Yoonjin, Lee Jungyun, Yoo Jinjoo
doaj   +1 more source

The application of Linked Open Data to the creation of book numbers

Bibliothecae.it, 2023
The research starts from some questions left open by a previous study, which had demonstrated the possibility of creating in an automated way the class numbers of the Colon Classification of some works of Italian literature.
Caterina Licul
doaj   +1 more source

Eternal domination and clique covering

Electronic Journal of Graph Theory and Applications, 2022
We study the relationship between the eternal domination number of a graph and its clique cove-ring number using both large-scale computation and analytic methods. In doing so, we answer two open questions of Klostermeyer and Mynhardt.
Gary MacGillivray, C. M. Mynhardt, Virgélot Virgile   +2 more
doaj   +1 more source

On Gauss’s class number problems [PDF]

Mathematics of Computation, 1969
Let h h be the class number of binary quadratic forms (in Gauss’s formulation). All negative determinants having some
openaire   +1 more source

Classes of gap balancing numbers [PDF]

Rocky Mountain Journal of Mathematics, 2021
14 ...
Bartz, Jeremiah, Dearden, Bruce, Iiams, Joel E.   +2 more
openaire   +3 more sources

Mentoring for Faculty from Working-Class Backgrounds

, 2020
Faculty mentoring across gender, race, and culture is facilitated by formal mentoring programs. Mentoring across the cultural differences associated with social class, however, represents a largely unaddressed gap in the provision of formal faculty ...
Poulsen, Joan R., Carr, Darrin L., Towers, George W., Zoeller, Aimee N.   +3 more
core   +2 more sources

Some Remarks on the Divisibility of the Class Numbers of Imaginary Quadratic Fields

Mathematics, 2022
For a given integer n, we provide some families of imaginary quadratic number fields of the form Q(4q2−pn), whose ideal class group has a subgroup isomorphic to Z/nZ.
Kwang-Seob Kim
doaj   +1 more source

One class of continuous locally complicated functions related to infinite-symbol $\Phi$-representation of numbers

Математичні Студії, 2023
In the paper, we introduce and study a massive class of continuous functions defined on the interval $(0;1)$ using a special encoding (representation) of the argument with an alphabet $ \mathbb{Z}=\{0,\pm 1, \pm 2,...\}$ and base $\tau=\frac{\sqrt{5}-1 ...
M. V. Pratsovytyi, O. M. Baranovskyi, O.I. Bondarenko, S.P. Ratushniak   +3 more
doaj   +1 more source

Prime valued polynomials and class numbers of quadratic fields

International Journal of Mathematics and Mathematical Sciences, 1990
It is the purpose of this paper to give a survey of the relationship between the class number one problem for real quadratic fields and prime-producing quadratic polynomials; culminating in an overview of the recent solution to the class number one ...
Richard A. Mollin
doaj   +1 more source