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
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Deléglise, Marc (1998)
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New Omega Theorems for Two Classical Lattice Points Problems.
James Lee Hafner (1981)
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The densest lattice in twenty-four dimensions.
Cohn, Henry, Kumar, Abhinav (2004)
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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
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Acta Arithmetica
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Peter M. Gruber (2011)
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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)
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Incomparability with respect to the triangular order
Emel Aşıcı, Funda Karaçal (2016)
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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.