Results 51 to 60 of about 2,325,357 (271)
Bicyclic commutator quotients with one non-elementary component [PDF]
Mathematica Bohemica, 2023 For any number field $K$ with non-elementary $3$-class group ${\rm Cl}_3(K)\simeq C_{3^e}\times C_3$, $e\ge2$, the punctured capitulation type $\varkappa(K)$ of $K$ in its unramified cyclic cubic extensions $L_i$, $1\le i\le4$, is an orbit under the ...
Daniel C. Mayer
doaj +1 more source
Algorithms in algebraic number theory [PDF]
, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
core +5 more sources
A characterization of half-factorial orders in algebraic number fields [PDF]
arXiv, 2023 We give an algebraic characterization of half-factorial orders in algebraic number fields. This generalizes prior results for seminormal orders and for orders in quadratic number fields.
arxiv
Sums of units in function fields II - The extension problem [PDF]
, 2013 In 2007, Jarden and Narkiewicz raised the following question: Is it true that each algebraic number field has a finite extension L such that the ring of integers of L is generated by its units (as a ring)?
Frei, Christopher
core +1 more source
The nilpotent structure of open-closed string field theory
Journal of High Energy Physics, 2023 In this note we revisit the homotopy-algebraic structure of oriented bosonic open-closed string field theory and we give a new compact formulation in terms of a single cyclic open-closed co-derivation which defines a single nilpotent structure describing
Carlo Maccaferri +2 more
doaj +1 more source
On a theorem of Ax and Katz [PDF]
, 2015 The well-known theorem of Ax and Katz gives a p-divisibility bound for the number of rational points on an algebraic variety V over a finite field of characteristic p in terms of the degree and number of variables of defining polynomials of V.
Zhu, Hui June
core +4 more sources
On the maximal abelian ℓ-extension of a finite algebraic number field with given ramification
Nagoya mathematical journal, 1978 Let k be a finite algebraic number field and let ℓ be a fixed odd prime number. In this paper, we shall prove the equivalence of certain rather strong conditions on the following four things (1) ~ (4), respectively : (1) the class number of the ...
H. Miki
semanticscholar +1 more source
On the computation of the class number of an algebraic number field
, 1989 It is shown how the analytic class number formula can be used to produce an algorithm which efficiently computes the class number h of an algebraic number field F.
J. Buchmann, H. Williams
semanticscholar +1 more source
The polylogarithm in algebraic number fields
Journal of Number Theory, 1985 AbstractBased on Kummer's 2-variable functional equations for the second through fifth orders of the polylogarithm function, certain linear combinations, with rational coefficients, of polylogarithms of powers of an algebraic base were discovered to possess significant mathematical properties. These combinations are designated “ladders,” and it is here
M.D. Abouzahra, L. Lewin
openaire +2 more sources
Tropical Effective Primary and Dual Nullstellens\"atze [PDF]
, 2015 Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic
Grigoriev, Dima, Podolskii, Vladimir V.
core +3 more sources