Arithmetical applications of an identity for the Vandermonde determinant
D. S. Ramana (2007)
Acta Arithmetica
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Displaying similar documents to “The Piltz divisor problem in number fields: An improved lower bound by Soundararajan's method”
Arithmetical applications of an identity for the Vandermonde determinant
Bounds for the density of abundant integers.
Deléglise, Marc (1998)
Experimental Mathematics
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New Omega Theorems for Two Classical Lattice Points Problems.
James Lee Hafner (1981)
Inventiones mathematicae
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The densest lattice in twenty-four dimensions.
Cohn, Henry, Kumar, Abhinav (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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On uniform distribution and the density of sets of lattice points
Bodo Volkmann (1964)
Compositio Mathematica
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Classification systems and their lattice
Sándor Radeleczki (2002)
Discussiones Mathematicae - General Algebra and Applications
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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...
Cesàro means related to the square of the divisor function
Gintautas Bareikis, Algirdas Mačiulis (2012)
Acta Arithmetica
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Voronoĭ type criteria for lattice coverings with balls
Peter M. Gruber (2011)
Acta Arithmetica
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Dual Lattice of ℤ-module Lattice
Yuichi Futa, Yasunari Shidama (2017)
Formalized Mathematics
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In this article, we formalize in Mizar [5] the definition of dual lattice and their properties. We formally prove that a set of all dual vectors in a rational lattice has the construction of a lattice. We show that a dual basis can be calculated by elements of an inverse of the Gram Matrix. We also formalize a summation of inner products and their properties. Lattice of ℤ-module is necessary for lattice problems, LLL(Lenstra, Lenstra and Lovász) base reduction algorithm and cryptographic...
On a Hadwiger-Wills inequality concerning lattice points.
Kołodziejczyk, Krzysztof (1999)
Beiträge zur Algebra und Geometrie
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Incomparability with respect to the triangular order
Emel Aşıcı, Funda Karaçal (2016)
Kybernetika
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In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.