Results 11 to 20 of about 791,112 (289)
On Integers Nonrepresentable by a Generalized Arithmetic Progression
, 2005 We consider those positive integers that are not representable as linear combinations of terms of a generalized arithmetic progression with nonnegative integer coefficients. To do this, we make use of the numerical semigroup generated by a generalized arithmetic progression.
Gretchen L. Matthews
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The optimal Malliavin-type remainder for Beurling generalized integers [PDF]
, 2022 We establish the optimal order of Malliavin-type remainders in the asymptotic density approximation formula for Beurling generalized integers. Given α∈(0,1] and c>0 (with c≤1 if α=1 ), a generalized number system is constructed with Riemann prime ...
Vindas Diaz, Jasson +2 more
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Symmetry-Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies. [PDF]
Adv Sci (Weinh)A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Yang J +14 more
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On the generalized sum of the symmetric q-integers [PDF]
, 2018 Here we will show that the symmetric q-integers of the q-calculus have a generalized sum which is also the generalized sum that we find in the \kappa-calculus proposed by G. Kaniadakis.The full citation for this Article is: Sparavigna, A. C. (2018).
Sparavigna, Amelia Carolina +1 more
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On Sets of Integers Which Are Both Sum-Free and Product-Free
, 2013 We consider sets of positive integers containing no sum of two elements in the set and also no product of two elements. We show that the upper density of such a set is strictly smaller than 1/2 and that this is best possible.
Lagarias, Jeffrey C. +2 more
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Torsion-free crystallographic groups with indecomposable holonomy group II. [PDF]
, 2004 Let K be a principal ideal domain, G a finite group, and M a KG-module which is a free K-module of finite rank on which G acts faithfully. A generalized crystallographic group is a non-split extension C of M by G such that conjugation in C induces the G ...
Bódi, Viktor +3 more
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Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
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Fermatian row and column sums as a family of generalized integers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated.
Anthony G. Shannon +2 more
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The general position number of integer lattices [PDF]
Applied Mathematics and Computation, 2021 The general position number ${\rm gp}(G)$ of a connected graph $G$ is the cardinality of a largest set $S$ of vertices such that no three pairwise distinct vertices from $S$ lie on a common geodesic. The $n$-dimensional grid graph $\pn$ is the Cartesian product of $n$ copies of the two-way infinite path $P_\infty$. It is proved that if $n\in {\mathbb N}
Sandi Klavzar, Gregor Rus
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Generalized Lagrange Multipliers in Integer Programming [PDF]
Operations Research, 1971 This paper combines the theory of generalized Lagrange multipliers with a reformulation of the integer-programming problem due to group theory. The use of multipliers enhances the algorithmic efficiency of group theory in a variety of ways. One particular application is the approximation of generalized Lagrange multipliers by generalized linear ...
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