Results 91 to 100 of about 7,538,990 (210)
Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]
, 2005 Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
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Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
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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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Advanced Engineering Research, 2018 Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used in a number of cryptographic problems.
V. M. Deundyak, N. S. Mogilevskaya
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Irreducible Quartics Over a Galois Field
, 1954 It is the purpose of this paper to study irreducible quartic equations with coefficients belonging to a Galois field modulo p, p being a prime number. Before studying the quartics, let us first consider the structure of a Galois field, the nature of the ...
Riedman, Anne M.
core
vendramin/galois: Academic year 2023-2024
Galois Theory ...
Silvia Properzi, Leandro Vendramin
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Grup Galois dari Suatu Field Extension [PDF]
, 2008 Suatu field L dikatakan field extension dari field K jika K K merupakan subfield dari dan memenuhi pemetaan monomorfisma dari LLE∈ ∈( GalK ∈ ke .
Pratiwi, Evyorista
core
, 2010 碩士在這篇論文中，我們將會看到一些field extension 與Galois群的主要定理與定義。在第三章中，我們將會考慮三次、四次方程式的性質特性，並且考慮一些三次、四次的特殊方程式與所有一般方程式的Galois群的解法。在第五章中，我們會先討論一般五次方程式的判別式，然後再試著去分析五次方程式的Galois群與判別式有什麼結構與特性。In the thesis, we will see that some main theories about the field extension and ...
謝忠諺; Hsieh, Chung-yen
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Spectral Properties of Discrete Neural Functions Over a Galois Field
, 2013 The paper deals with the discrete functions over a Galois field. We give the necessary and sufficient condition of discrete functions decomposition in group characters.
Гече, Федір Елемирович +2 more
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Probabilistic Galois theory in function fields
Finite Fields and Their ApplicationsWe study the irreducibility and Galois group of random polynomials over function fields. We prove that a random polynomial $f=y^n+\sum_{i=0}^{n-1}a_i(x)y^i\in\mathbb F_q[x][y]$ with i.i.d coefficients $a_i$ taking values in the set $\{a(x)\in\mathbb{F}_q[x]: \mathrm{deg}\, a\leq d\}$ with uniform probability, is irreducible with probability tending to $
Alexei Entin, Alexander Popov
openaire +3 more sources