Results 131 to 140 of about 1,298,002 (233)

Character sums in algebraic number fields

Journal of Number Theory, 1983
AbstractThe Pólya-Vinogradov inequality is generalized to arbitrary algebraic number fields K of finite degree over the rationals. The proof makes use of Siegel's summation formula and requires results about Hecke's zeta-functions with Grössencharacters.
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COMPUTING EXPERIMENTS FOR CALCULATION OF ELECTROSTATIC AXISYMMETRIC FIELD IN PIECEWISE-HOMOGENEOUS INSULATION WITH SPHERICAL INCLUSIONS

Electrical engineering & Electromechanics, 2014
Calculations of electrostatic axisymmetric field are made with application of solution to Fredholm integral equation of the first and the second kinds in a piecewise homogeneous isotropic linear polymeric insulation. On the basis of numerical experiments
A.V. Bezprozvannych, A.G. Kyessaeyv
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On class numbers of finite algebraic number fields [PDF]

, 1965
Akio Yokoyama
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Solution of the Waring-Goldbach problem for algebraic number fields [PDF]

, 1962
G. J. Rieger
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Factoring Polynomials Over Algebraic Number Fields [PDF]

, 1976
P. Weinberger, Linda Preiss Rothschild
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Computing in the Field of Complex Algebraic Numbers

Journal of Symbolic Computation, 1997
AbstractIn this paper we present two methods of computing with complex algebraic numbers. The first uses isolating rectangles to distinguish between the roots of the minimal polynomial, the second method uses validated numeric approximations. We present algorithms for arithmetic and for solving polynomial equations, and compare implementations of both ...
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Quadratic forms over nonformally real fields with a finite number of quaternion algebras [PDF]

, 1976
Craig M. Cordes
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On theta functions of real algebraic number fields [PDF]

, 1977
Martin Eichler
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Factorizations of distinct lengths in algebraic number fields [PDF]

, 1976
Jan Śliwa
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Determinants of tridiagonal matrices over some commutative finite chain rings

Special Matrices
Diagonal matrices and their generalization in terms of tridiagonal matrices have been of interest due to their nice algebraic properties and wide applications.
Jitman Somphong, Sricharoen Yosita
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