Results 41 to 50 of about 11,325,403 (303)

Real quadratic number fields with metacyclic Hilbert $2$-class field tower [PDF]

Mathematica Bohemica, 2019
We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a metacyclic Hilbert 2-class field tower, and then we will determine all real quadratic number fields $\mathbb Q(\sqrt d)$ that have a metacyclic nonabelian ...
Said Essahel, Ahmed Dakkak, Ali Mouhib
doaj   +1 more source

On the Genus Field in Algebraic Number Fields

Tokyo Journal of Mathematics, 1983
Sei \(K/k\) eine endliche galoissche Erweiterung algebraischer Zahlkörper, \(\mathfrak M\) ein Modul von \(K\) (der unendliche Primstellen enthalten kann), \(K(\mathfrak M)\) der Strahlklassenkörper von \(K \bmod {\mathfrak M}\), \(E/k\) die maximale abelsche Erweiterung in \(K(\mathfrak M)\) und \(K^*(\mathfrak M) = E\cdot K\); \(K^*(\mathfrak M ...
openaire   +3 more sources

Impact of Radiation Therapy on Physical and Psychosocial Health of Adolescents and Young Adults: A Joint Report From the Children's Oncology Group AYA and Radiation Oncology Committees

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani, Rachel K. Peterson, Avani D. Rao, Laurie J. McKenzie, Ahmed Magdy Elmotayam, Leslie Chang, Michael Roth, Susan L. McGovern   +7 more
wiley   +1 more source

Enumerating number fields [PDF]

, 2019
We construct small models of number fields and deduce a better bound for the number of number fields of given degree and bounded ...
Couveignes, Jean-Marc
core   +1 more source

Therapeutic Apheresis in Nigeria: A Multi‐Center Summary of Abstracts From the Inaugural Nigerian Society for Apheresis Scientific Meeting

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye, Chimezie Okwuonu, Evelyn Idam, Folasade Adelekan‐Popoola, Shakirat Gold‐Olufadi, Olufunto Olufela Kalejaiye, Abdullateef Ogala, Zinnah Aloziem, Blossom Amamchukwu, Patience Elimia, Mkpoikanabasi Obot‐Obot, Henry Mbakwe, Praises Maduagwuna, Olatunji Akinrodoye, Chiamaka Anyanwu, Benjamin Anyanwu, Adedamola Akinsiku, Oluwatoyin A. Akinsiku, Muzamil O. Hassan, Fatiu A. Arogundade, Olalekan E. Ojo, Homayemem Weli, Jesupelumi Adenihun, Aderemi Adelaja, Ebun Bamgboye, Olalekan Olatise, Ade E. Faponle, Ayoola Odeyemi, Michael Muoka, Stephen Asaolu, Qudrat Busari, Blessing Dawudu, Michael Naiyeju, Rasheed A. Balogun   +33 more
wiley   +1 more source

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

Computing quadratic subfields of number fields

Journal of Computational Algebra
Given a number field, it is an important question in algorithmic number theory to determine all its subfields. If the search is restricted to abelian subfields, we can try to determine them by using class field theory.
Andreas-Stephan Elsenhans, Jürgen Klüners   +1 more
doaj   +1 more source

Some Properties of Extended Euler’s Function and Extended Dedekind’s Function

Mathematics, 2020
In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
doaj   +1 more source

An Implementation of the Number Field Sieve [PDF]

Experimental Mathematics, 1996
The Number Field Sieve (NFS) is the asymptotically fastest known factoring algorithm for large integers. This article describes an implementation of the NFS, including the choice of two quadratic polynomials, both classical sieving and a special form of lattice sieving (line sieving), the block Lanczos method and a new square root algorithm.
openaire   +4 more sources

Projective modules of group rings over quadratic number fields [PDF]

, 1994
Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate
Ahmed, Iftikhar
core