Results 81 to 90 of about 1,203,239 (192)

A residue scalar product for algebraic function fields over a number field [PDF]

arXiv, 1999
In 1952 Peter Roquette gave an arithmetic proof of the Riemann hypothesis for algebraic function fields of a finite constants field, which was proved by Andr\'e Weil in 1940. The construction of Weil's scalar product is essential in Roquette's proof. In this paper a scalar product for algebraic function fields over a number field is constructed which ...
arxiv  

Unit group of the ring of negacirculant matrices over finite commutative chain rings

Special Matrices
Circulant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
doaj   +1 more source

The involutive system of higher-spin equations

Nuclear Physics B, 2021
We revisit the problem of consistent free propagation of higher-spin fields in nontrivial backgrounds, focusing on symmetric tensor(-spinor)s. The Fierz-Pauli equations for massive fields in flat space form an involutive system, whose algebraic ...
Rakibur Rahman
doaj  

On plane polynomial vector fields and the Poincare problem

Electronic Journal of Differential Equations, 2002
In this paper we address the Poincare problem, on plane polynomial vector fields, under some conditions on the nature of the singularities of invariant curves.
M'hammed El Kahoui
doaj  

On the fundamental number of the algebraic number-field 𝑘(\root𝑝\of𝑚) [PDF]

, 1910
Jacob Westlund
openalex   +1 more source

Parametrizing algebraic varieties using Lie algebras [PDF]

arXiv, 2006
In the thesis we present a new method for parametrizing algebraic varieties over the field of characteristic zero. The problem of parametrizing is reduced to a problem of finding an isomorphism of algebras. We introduce the Lie algebra of a variety as a Lie algebra related to its group of automorphisms.
arxiv  

Number of divisor classes in algebraic function fields [PDF]

, 1950
Eizi Inaba
openalex   +1 more source

Killing vector fields of locally rotationally symmetric Bianchi type V spacetime

Scientific Reports
The classification of locally rotationally symmetric Bianchi type V spacetime based on its killing vector fields is presented in this paper using an algebraic method.
Shakeel Ahmad, Tahir Hussain, Abdul Baseer Saqib, Muhammad Farhan, Muhammad Farooq   +4 more
doaj   +1 more source

On the Imbedding Problem of Normal Algebraic Number Fields [PDF]

, 1952
Eizi Inaba
openalex   +1 more source

Diophantine equations and identities

International Journal of Mathematics and Mathematical Sciences, 1985
The general diophantine equations of the second and third degree are far from being totally solved. The equations considered in this paper are    i)  x2−my2=±1 ii)  x3+my3+m2z3−3mxyz=1iii)  Some fifth degree diopantine ...
Malvina Baica
doaj   +1 more source