A 2 X – WEB PAGES on LATTICES and SPHERICAL DESIGNS
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چکیده
منابع مشابه
On lattices whose minimal vectors form a 6-design
Spherical designs have been introduced in 1977 by Delsarte, Goethals and Seidel [11] and soon afterwards studied by Eiichi Bannai in a series of papers (see [3], [4], [5] to mention only a few of them). A spherical t-design is a finite subset X of the sphere such that every polynomial on R of total degree at most t has the same average over X as over the entire sphere. The theory of lattices ha...
متن کاملBoris Venkov’s Theory of Lattices and Spherical Designs
Boris Venkov passed away on November 10, 2011, just 5 days before his 77th birthday. His death overshadowed the conference “Diophantine methods, lattices, and arithmetic theory of quadratic forms” November 13-18, 2011, at the BIRS in Banff (Canada), where his important contributions to the theory of lattices, modular forms and spherical designs played a central role. This article gives a short ...
متن کاملN ov 2 00 6 SPHERICAL DESIGNS AND ZETA FUNCTIONS OF LATTICES
We set up a connection between the theory of spherical designs and the question of minima of Epstein’s zeta function. More precisely, we prove that a Euclidean lattice, all layers of which hold a 4-design, achieves a local minimum of the Epstein’s zeta function, at least at any real s > n 2 . We deduce from this a new proof of Sarnak and Strömbergsson’s theorem asserting that the root lattices ...
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Recent improvements in web standards and technologies enable the attackers to hide and obfuscate infectious codes with new methods and thus escaping the security filters. In this paper, we study the application of machine learning techniques in detecting malicious web pages. In order to detect malicious web pages, we propose and analyze a novel set of features including HTML, JavaScript (jQuery...
متن کاملSpherical Designs from 3 Norm Shell of Integral Lattices
A set of vectors all of which have a constant (non-zero) norm value in a Euclidean lattice is called a shell of the lattice. Venkov classified strongly perfect lattices of minimum 3 (Rèseuaux et “designs” sphérique, 2001), whose minimal shell is a spherical 5-design. This note considers the classification of integral lattices whose shells of norm 3 are 5-designs.
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تاریخ انتشار 2005