Results 291 to 300 of about 16,932,162 (348)

Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]

PLoS One
Alrashdi A, Wahab A, Yaseen A, Alkuhayli N, Alahmadi H.   +4 more
europepmc   +1 more source

Enabling and Enhancing Massive Multiple Input-Multiple Output Systems with Two-Dimensional Orthogonal Pattern Division Multiple Access. [PDF]

Sensors (Basel)
Wang R, Yao J, Shi Y, Liu Z, Bai X.
europepmc   +1 more source

Wild Galois representations: elliptic curves with wild cyclic reduction. [PDF]

Res Number Theory
Coppola N.
europepmc   +1 more source

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ON NONMONOGENIC ALGEBRAIC NUMBER FIELDS

Rocky Mountain Journal of Mathematics, 2023
Let \(p\) be a prime number and \(f (x) = x^{p^ s}- ax^m- b\) belonging to \(\mathbb Z[x]\) be an irreducible polynomial. Let \( K = \mathbb Q(\theta )\) be an algebraic number field with \(\theta\) a root of \( f (x)\). Let \(r_1\) stand for the highest power of \(p\) dividing \(b^{p^s}- b -ab^m.\) This paper gives some explicit conditions involving ...
openaire   +2 more sources

Algebraic Number Field

Encyclopedia of Cryptography and Security, 2011
A. Canteaut, Gerald Brose, Hakki C. Cankaya, Aaron Estes, S. De Capitani di Vimercati, Davide Martinenghi, Y. Desmedt, M. De Soete, A. Biryukov, P. Samarati, Alessandro Campi, S. Paraboschi, K. LeFevre, Bee-Chung Chen, Dan Boneh, Bart Preneel, Friedrich L. Bauer, C. Carlet, Scott Crosby, Dan Wallach, William Enck, G. Bleumer, Yi Yang, Sen-Cun Zhu, S. Köpsell, M. Srivatsa, Arun Iyengar, Catherine Meadows, V. Venkatakrishnan, Sebastiaan Indesteege, B. Kaliski, Sean W. Smith, M. De Soete, J. Black, E. Cankaya, R. Zuccherato, G. Kabatiansky, Ben Smeets, Tor Helleseth, David Naccache, E. Cronin   +40 more
semanticscholar   +2 more sources

The Schur group of an algebraic number field

The Annals of Mathematics, 1976
If G denotes a finite group and Q the rational field, then the group algebra Q[G] is a direct sum of simple rings, each a full matrix ring over a division ring. One may ask which simple rings arise this way as G is allowed to range over all finite groups.
G. Janusz
semanticscholar   +3 more sources

Realizing Algebraic Number Fields

1983
In the paper [13], the authors studied the problem of realizing rational division algebras in a special way. Let D be a division algebra that is finite dimensional over the rational field Q. If p is a prime, we say that D is p-realizable when there is a p-local torsion free abelian group A whose rank is the dimension of D over Q, such that D is ...
R. S. Pierce, C. I. Vinsonhaler
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Algebraic Number Theory and Fermat's Last Theorem

Algebraic Methods Algebraic Background Rings and Fields Factorization of Polynomials Field Extensions Symmetric Polynomials Modules Free Abelian Groups Algebraic Numbers Algebraic Numbers Conjugates and Discriminants Algebraic Integers Integral Bases ...
I. Stewart, D. Tall
semanticscholar   +1 more source