Results 31 to 40 of about 387,244 (233)
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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Essential dimension of abelian varieties over number fields [PDF]
, 2008 We affirmatively answer a conjecture in the preprint ``Essential dimension and algebraic stacks,'' proving that the essential dimension of an abelian variety over a number field is infinite.Comment: 4 pages. To appear in C. R. Math. Acad. Sci.
Berhuy +9 more
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A Note on Divisible Points of Curves [PDF]
, 2014 Let $C$ be an irreducible algebraic curve defined over a number field and inside an algebraic torus of dimension at least 3. We partially answer a question posed by Levin on points on $C$ for which a non-trivial power lies again on $C$.
Bays, Martin, Habegger, Philipp
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Good reduction of algebraic groups and flag varieties [PDF]
, 2015 In 1983, Faltings proved that there are only finitely many abelian varieties over a number field of fixed dimension and with good reduction outside a given set of places.
Javanpeykar, Ariyan, Loughran, Daniel
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A method to determine algebraically integral Cayley digraphs on finite Abelian group [PDF]
, 2018 Researchers in the past have studied eigenvalues of Cayley digraphs or graphs. We are interested in characterizing Cayley digraphs on a finite Abelian group G whose eigenvalues are algebraic integers in a given number field K. And we succeed in finding a
Li, Fei
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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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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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Linear and algebraic independence of Generalized Euler-Briggs constants
, 2016 Possible transcendental nature of Euler's constant $\gamma$ has been the focus of study for sometime now. One possible approach is to consider $\gamma$ not in isolation, but as an element of the infinite family of generalised Euler-Briggs constants. In a
Gun, Sanoli +2 more
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A note on Fibonacci matrices of even degree
International Journal of Mathematics and Mathematical Sciences, 2001 This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
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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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