Results 61 to 70 of about 52,649 (219)
, 2014 The technical difficulties of algebraic number theory often make this subject appear difficult to beginners. This undergraduate textbook provides a welcome solution to these problems as it provides an approachable and thorough introduction to the topic ...
Jarvis, Frazer
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Algebraic Linear Analysis for Number Theoretic Transform in Lattice-Based Cryptography
Transactions on Cryptographic Hardware and Embedded SystemsThe topic of verifying postquantum cryptographic software has never been more pressing than today between the new NIST postquantum cryptosystem standards being finalized and various countries issuing directives to switch to postquantum or at least ...
Chun-Ming Chiu +5 more
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Chromatic numbers of algebraic hypergraphs [PDF]
Combinatorica, 2016 A k-uniform hypergraph is algebraic if its vertex set is n-dimensional Euclidean space, for some n, and its hyperedge set is defined from the zero set of some polynomial. The chromatic numbers of all algebraic hypergraphs are determined, provided they are infinite.
openaire +2 more sources
Density of classical points in eigenvarieties [PDF]
, 2011 In this short note, we study the geometry of the eigenvariety parametrizing p-adic automorphic forms for GL(1) over a number field, as constructed by Buzzard. We show that if K is not totally real and contains no CM subfield, points in this space arising
Loeffler, David
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Computational algebraic number theory [PDF]
, 1993 Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography.
Michael E. Pohst +2 more
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Constructions of Dense Lattices of Full Diversity
Trends in Computational and Applied Mathematics, 2020 A lattice construction using Z-submodules of rings of integers of number fields is presented. The construction yields rotated versions of the laminated lattices A_n for n = 2,3,4,5,6, which are the densest lattices in their respective dimensions.
A. A. Andrade +3 more
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Competitive Equilibria in Semi-Algebraic Economies [PDF]
This paper examines the equilibrium correspondence in Arrow-Debreu exchange economies with semi-algebraic preferences. We show that a generic semi-algebraic exchange economy gives rise to a square system of polynomial equations with finitely many ...
Karl Schmedders, Felix Kuber
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, 2009 Version 3.06 May 28, 2014An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebraic number field. Algebraic number theory studies the arithmetic of algebraic number fields — the ring of integers in the number ...
J. S. Milne
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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