Combinatorial and Additive Number Theory VI

Combinatorial and Additive Number Theory VI

CANT, New York, USA, 2022 and 2023

Nathanson, Melvyn B.

Springer International Publishing AG

01/2025

482

Dura

9783031650635

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Chessboard Domination: Introduction of Some New Problems.- Bounds on distinct and repeated dot product trees.- Fractal Dimension, Approximation, and Data Sets.- Towards the Gaussianity of Random Zeckendorf Games.- Linear Recurrences of Order at Most Two in Nontrivial Small Divisors and Large Divisors.-Representing Positive integers as a Sum of a Squarefree Number and a Prime.- Symmetric (not Complete Intersection) Numerical Semigroups and Syzygy Identities.- Commutative Monoid of Self-Dual Symmetric Polynomials.- Geometric Progressions in the Sets of Values of Reducible Cubic Forms.- Uniform Approximation by Polynomials with Integer Coe?cients via the Bernstein Lattice.- On the Distribution of Subset Sums of Certain Sets in Zp2 and in N2.- On a Polynomial Reciprocity Theorem of Carlitz.- Petersson-Knopp Type Identities for Generalized Dedekind-Rademacher Sums Attached to Three Dirichlet Characters.-Explicit Bounds for Large Gaps between Cubefree Integers.- The Family of ?-Floor Quotient Partial Orders.-The Muirhead-Rado Inequality, 1: Vector Majorization and the Permutohedron.- The Muirhead-Rado Inequality, 2: Symmetric Means and Inequalities.- Patterns in the Iteration of an Arithmetic Function.- The Rate of Convergence for Selberg's Central Limit Theorem under the Riemann Hypothesis.- Some proofs about Sequences in the Spirit of Paul Du Bois-Reymond.- Series with Summands involving Harmonic Numbers.- Condensation and Densi?cation for Sets of Large Diameter.
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Computer Science;Informatics;Conference Proceedings;Research;Applications;additive number theory;numerical semigroups;fractal dimension;polynomials;Zeckendorf games;nontrivial small divisors;Syzygy identities;Bernstein lattice;Dedekind-Rademacher sums;Muirhead-Rado inequality