Results 31 to 40 of about 4,707,750 (299)

Vector weighted Stirling numbers and an application in graph theory

open access: yesElectronic Journal of Graph Theory and Applications, 2021
We introduce \textit{vector weighted Stirling numbers}, which are a generalization of ordinary Stirling numbers and restricted Stirling numbers. Some relations between vector weighted Stirling numbers and ordinary Stirling numbers and some of their ...
Fahimeh Esmaeeli   +2 more
doaj   +1 more source

Peculiarities of smoothly undulating number

open access: yesIntermaths, 2023
his notes presents results related to divisibility or multiplicity between two numbers in the class of integers called  smoothly undulating numbers of the type uz[n].
Douglas Catulio Santos   +1 more
doaj   +1 more source

Some Questions on the Ideal Class Group of Imaginary Abelian Fields [PDF]

open access: yes, 2007
Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal.
Itoh, Tsuyoshi
core   +1 more source

Exploring the 2-Part of Class Groups in Quadratic Fields: Perspectives on the Cohen–Lenstra Conjectures

open access: yesMathematics
Cohen and Lenstra introduced conjectures concerning the distribution of class numbers in quadratic fields, though many of these conjectures remain unproven.
Yong Wang   +4 more
doaj   +1 more source

On numbers which are orders of nilpotent groups with bounded class [PDF]

open access: yesInternational Journal of Group Theory
Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Maria Ferrara
doaj   +1 more source

Incorporating Quantum Number Characteristics in the Pictorial Representations of the Atomic Structure: Consistency Issues and Students’ Relevant Profiles

open access: yesScience Education International, 2022
The main purpose of this study was to investigate the consistency of pictorial representations of the atomic structure drawn by students on the basis of particular quantum numbers’ characteristics.
Nikolaos Zarkadis   +2 more
doaj   +1 more source

On the class numbers of Hilbert class fields [PDF]

open access: yesPacific Journal of Mathematics, 1997
It is generally believed that a positive proportion of number fields (counted according to increasing absolute value of the discriminant), have class number one. This conjecture, and the numerical data that has led to it, have their origins in Gauss’ Disquisitiones Arithmaticae, where it was conjectured that there are infinitely many quadratic fields ...
openaire   +1 more source

A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function

open access: yesMathematics, 2021
In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
doaj   +1 more source

Class Numbers and Biquadratic Reciprocity [PDF]

open access: yesCanadian Journal of Mathematics, 1982
0. Notation. Throughout this paper p denotes a prime congruent to 1 modulo 4. It is well known that such primes are expressible in an essentially unique manner as the sum of the squares of two integers, that is,(0.1)with |a| and |b| uniquely determined by (0.1).
Williams, Kenneth S., Currie, James D.
openaire   +2 more sources

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen   +23 more
wiley   +1 more source

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