Results 51 to 60 of about 36,999 (191)
Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
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Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
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Quantum Information: A Brief Overview and Some Mathematical Aspects
Mathematics, 2018 The aim of the present paper is twofold. First, to give the main ideas behind quantum computing and quantum information, a field based on quantum-mechanical phenomena. Therefore, a short review is devoted to (i) quantum bits or qubits (and more generally
Maurice R. Kibler
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Biases towards the zero residue class for quadratic forms in arithmetic progressions
Mathematika, Volume 72, Issue 2, April 2026.Abstract We prove a bias towards the zero residue class in the distribution of the integers represented by binary quadratic forms. In most cases, we prove that the bias comes from a secondary term in an associated asymptotic expansion. This is unlike Chebyshev's bias, which exists somewhere at the level of O(x1/2+ε)$O(x^{1/2+\varepsilon })$.
Jeremy Schlitt
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Computing character degrees via a Galois connection [PDF]
International Journal of Group Theory, 2015 In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
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A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
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Attribute Implication Bases From Galois Connection Structures
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo +2 more
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Network Security Empowered Digital Teaching Data Protection Algorithm for Ceramic Technology
Engineering Reports, Volume 8, Issue 3, March 2026.In this paper, a complete algorithm system covering sensitivity identification, feature fusion, encrypted transmission and cultural image protection is established based on the ceramic teaching scene enabled by network security. ABSTRACT The digitalization of ceramic technology teaching generates sensitive multi‐modal data, including personal ...
Yuting Zhu +3 more
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Forum of Mathematics, Sigma, 2014 We extend the modularity lifting result of P. Kassaei (‘Modularity lifting in parallel weight one’,J. Amer. Math. Soc. 26 (1) (2013), 199–225) to allow Galois representations with some ramification at
PAYMAN L. KASSAEI +2 more
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New Zealand Geological Timescale 2025
New Zealand Journal of Geology and Geophysics, Volume 69, Issue 1, March 2026.New Zealand Geological Timescale 2025 (NZGT 2025) is the first comprehensive update and revision of the New Zealand Geological Timescale in a decade. The criteria used to establish age ranges of New Zealand Stages within the NZGT have been reviewed, calibrated, and revised where required against the 2023/04 International Chronostratigraphic Chart and ...
Christopher D. Clowes +13 more
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