Results 61 to 70 of about 2,325,357 (271)
Quantum spectral curve as a tool for a perturbative quantum field theory
Nuclear Physics B, 2015 An iterative procedure perturbatively solving the quantum spectral curve of planar N=4 SYM for any operator in the sl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed.
Christian Marboe, Dmytro Volin
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On Exponential Sums Over an Algebraic Number Field
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 1951 Let K be an algebraic field of degree n over the rational field, and let b be the ground ideal (différente) of the field ...
L. Hua
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Which canonical algebras are derived equivalent to incidence algebras of posets? [PDF]
Communications in Algebra 36 (2008), 4599-4606, 2007 We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canonical algebras whose number of weights is either 2 or 3.
arxiv +1 more source
On the stufe of an algebraic number field
Journal of Number Theory, 1972 AbstractThe stufe, s = s(K), of a field K is the least number such that −1 is the sum of s squares of elements of K; then every element of K is the sum of s + 1 squares. Using the Hasse-Minkowski theorem on quadratic forms, and a simple algebraic identity, one can easily show that the stufe of an algebraic number field, if it exists, is 1, 2, or 4 ...
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Denominators of algebraic numbers in a number field
Journal of Number Theory, 2015 Abstract Text For any algebraic number γ, let g ( x ) be the unique irreducible polynomial with integral coefficients, whose leading coefficient c ( γ ) is positive, such that g ( γ ) = 0 . Let d ( γ ) be the denominator of γ. We fix a number field K, a prime p, a positive integer k and we study the set of values
Mohamed Ayad +2 more
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Nonsplit conics in the reduction of an arithmetic curve
, 2021 For an algebraic function field $F/K$ and a discrete valuation $v$ of $K$ with perfect residue field $k$, we bound the number of discrete valuations on $F$ extending $v$ whose residue fields are algebraic function fields of genus zero over $k$ but not ...
Becher, Karim Johannes, Grimm, David
core
Sultan Qaboos University Journal for Science, 2015 Pinch analysis is a methodology used for minimizing energy and material consumption in engineering processes. It features the identification of the pinch point and minimum external resources.
Nasser A. Al-Azri
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Units in families of totally complex algebraic number fields
International Journal of Mathematics and Mathematical Sciences, 2004 Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number ...
L. Ya. Vulakh
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Valuations on Structures More General Than Fields
Computer Sciences & Mathematics Forum, 2023 Valuation theory is an important area of investigation in algebra, with applications in algebraic geometry and number theory. In 1957, M. Krasner introduced hyperfields, which are field-like objects with a multivalued addition, to describe some ...
Alessandro Linzi
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The algebraic numbers definable in various exponential fields [PDF]
J. Inst. Math. Jussieu, 11(4):825-834, 2012, 2011 We prove the following theorems: Theorem 1: For any E-field with cyclic kernel, in particular $\mathbb C$ or the Zilber fields, all real abelian algebraic numbers are pointwise definable. Theorem 2: For the Zilber fields, the only pointwise definable algebraic numbers are the real abelian numbers.
arxiv +1 more source