Results 41 to 50 of about 14,166,488 (203)

Algebraic entropy for algebraic maps [PDF]

, 2015
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W., Zullo, F., RAGNISCO, Orlando, Zullo, Federico, Hone, Andrew N.W.   +4 more
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A construction of the polylogarithm motive [PDF]

Épijournal de Géométrie Algébrique
Classical polylogarithms give rise to a variation of mixed Hodge-Tate structures on the punctured projective line $S=\mathbb{P}^1\setminus \{0, 1, \infty\}$, which is an extension of the symmetric power of the Kummer variation by a trivial variation.
Clément Dupont, Javier Fresán
doaj   +1 more source

A Topological Perspective on Interacting Algebraic Theories [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
Techniques from higher categories and higher-dimensional rewriting are becoming increasingly important for understanding the finer, computational properties of higher algebraic theories that arise, among other fields, in quantum computation.
Amar Hadzihasanovic
doaj   +1 more source

ALGEBRAIC CRYPTANALYSIS ON NTRU-HPS AND NTRU-HRSS

Barekeng, 2023
NTRU is a lattice-based public-key cryptosystem designed by Hoffstein, Pipher, and Silverman in 1996. NTRU published on Algorithmic Number Theory Symposium (ANTS) in 1998.
Fadila Paradise, Kiki Ariyanti Sugeng
doaj   +1 more source

The "fundamental theorem" for the algebraic K-theory of spaces. I [PDF]

, 2001
Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra. 2001;160(1):21-52.Let X H A(X) denote the algebraic K-theory of spaces functor.
Wolrad Vogell, Waldhausen, Friedhelm, Williams, Bruce, John R Klein, Vogell, Wolrad, Thomas Hüttemann, Hüttemann, Thomas, Friedhelm Waldhausen, Klein, John R., Bruce Williams   +9 more
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Algebraic Number Theory (Lecture Notes) [PDF]

, 2016
These are lecture notes for the course Algebraic Number Theory taught in the Master in Mathematics and Master in Secondary Education at the University of ...
Arias-de-Reyna, Sara, WIESE, Gabor
core   +1 more source

Algebraic cobordism theory attached to algebraic equivalence

, 2013
Based on the algebraic cobordism theory of Levine and Morel, we develop a theory of algebraic cobordism modulo algebraic equivalence. We prove that this theory can reproduce Chow groups modulo algebraic equivalence and the semi-topological K0- groups. We
Park, Jinhyun, Krishna, Amalendu
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On the Girth of Tanner QC-LDPC Cycle Codes: An Algebraic Number Theory Approach

Axioms
Tanner quasi-cyclic low-density parity-check (QC-LDPC) codes form an important family of structured LDPC codes with favorable girth properties. This paper studies the girth of Tanner (2, L)-regular QC-LDPC codes (referred to as Tanner QC-LDPC cycle codes)
Haipeng Yu, Manjie Zhou, Zhongyang Yu, Mengmeng Xu, Hengzhou Xu   +4 more
doaj   +1 more source

Algebraic Quantum Field Theory [PDF]

, 2006
Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras,
Halvorson, Hans, Mueger, Michael
core  

On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]

Journal of Fuzzy Extension and Applications
Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala, Hasan Sankari, Mohamed Zeina   +2 more
doaj   +1 more source