Results 51 to 60 of about 14,166,488 (203)

On the quantum security of high-dimensional RSA protocol

Journal of Mathematical Cryptology
The idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine, Serraj Taoufik, Ismaili Moulay Chrif, Azizi Abdelmalek   +3 more
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Algebraic Properties of Chromatic Polynomials and Their Roots [PDF]

, 2015
In this thesis we examine chromatic polynomials from the viewpoint of algebraic number theory. We relate algebraic properties of chromatic polynomials of graphs to structural properties of those graphs for some simple families of graphs.
Gilmore, Hamish Julian
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Proof in C17 Algebra

Philosophia Scientiæ, 2005
This paper considers the birth of algebraic proof by looking at the works of Cardano, Viète, Harriot and Pell. The transition from geometric to algebraic proof was mediated by appeals to the Eudoxan theory of proportions in book V of Euclid.
Brendan Larvor
doaj   +1 more source

Algebraic Geometry and Number Theory Summer School

, 2017
This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory
Zeytin, Ayberk, Mourtada, Hussein, Sarıoğlu, Celal, Soulé, Christophe   +3 more
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The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution [PDF]

, 2002
Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution. Journal of Pure and Applied Algebra.
Waldhausen, Friedhelm, Williams, Bruce, Vogell, Wolrad, Hüttemann, Thomas, Klein, John R.   +4 more
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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, Alberto Ruffino, Jakub Vošmera   +2 more
doaj   +1 more source

The Euler–Lagrange theory for Schur's Algorithm: Algebraic exposed points

, 2006
In this paper the ideas of Algebraic Number Theory are applied to the Theory of Orthogonal polynomials for algebraic measures. The transferring tool are Wall continued fractions.
S. Khrushchev, Khrushchev, S
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Algebraic K-theory and Motivic Cohomology [PDF]

, 2013
Algebraic K-theory and motivic cohomology are strongly related tools providing a systematic way of producing invariants for algebraic or geometric structures.

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Ternary Menger hyperalgebras: some algebraic properties

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, we first establish an algebraic hyperstructure called a ternary Menger hyperalgebra of rank n, where n is a natural number. The algebraic hyperstructure can be regarded as a novel generalization of ternary semihypergroups. In particular,
A. Nongmanee, S. Leeratanavalee
doaj   +1 more source

On solving norm equations in global function fields

Journal of Mathematical Cryptology, 2009
The potential of solving norm equations is crucial for a variety of applications of algebraic number theory, especially in cryptography. In this article we develop general effective methods for that task in global function fields for the first time.
Gaál István, Pohst Michael E.
doaj   +1 more source