Articles by Melvyn B. Nathanson | Synthical

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Melvyn B. Nathanson

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130

Additive number theory and the Dyson transform

6 September 2024 by Melvyn Nathanson

Linear equations and multiplicative polynomial equations in infinitely many variables

19 July 2024 by Melvyn Nathanson and David Ross

Functional Analysis, Classical Analysis and ODEs

The Muirhead-Rado inequality, 2: Symmetric means and inequalities

5 May 2024 by Melvyn Nathanson

The Muirhead-Rado inequality, 1 Vector majorization and the permutohedron

5 May 2024 by Melvyn Nathanson

Landau's converse to H\" older's inequality

1 April 2024 by Melvyn Nathanson

Classical Analysis and ODEs

Increasing-decreasing patterns in the iteration of an arithmetic function

7 March 2024 by Melvyn Nathanson

Finitely many implies infinitely many

1 February 2024 by Melvyn Nathanson

Extremal problems and the combinatorics of sumsets

25 December 2023 by Melvyn Nathanson

The fourth positive element in the greedy B_h-set

23 November 2023 by Melvyn Nathanson and Kevin O'Bryant

Number Theory, Combinatorics

The third positive element in the greedy B_h-set

18 November 2023 by Melvyn Nathanson

Number Theory, Combinatorics

Von Neumann-Steinhaus decomposition of parallelepipeds

16 November 2023 by Melvyn Nathanson

Classical Analysis and ODEs, Metric Geometry

Continuity of the roots of a polynomial

10 November 2023 by Melvyn Nathanson and David Ross

Rings and Algebras

Permutation Patterns of the Iterated Syracuse Function

1 August 2023 by Melvyn Nathanson

Number Theory, Combinatorics

Three questions about John von Neumann

1 June 2023 by Melvyn Nathanson

History and Overview

Polytopes, polyhedra, and the Farkas lemma

18 January 2023 by Melvyn Nathanson

Descartes's "Rule of Signs'' and Poincaré's Positivstellensatz

30 September 2022 by Melvyn Nathanson

Algebraic Geometry

Exponential automorphisms and a problem of Mycielski

2 September 2022 by Melvyn Nathanson

Number Theory, Commutative Algebra

Generalizations of Menon's arithmetic identity

27 July 2022 by Melvyn Nathanson

Number Theory, Combinatorics

A nonstandard proof of continuity of affine varieties

14 July 2022 by Melvyn Nathanson

Algebraic Geometry, Logic

Fixed points of powers of permutations

9 June 2022 by Melvyn Nathanson

Combinatorics, Group Theory

Gauss's proof of Descartes's rule of signs

10 May 2022 by Melvyn Nathanson

History and Overview, Algebraic Geometry

A new class of minimal asymptotic bases

5 May 2022 by Melvyn Nathanson

Number Theory, Combinatorics

An inverse problem for finite Sidon sets

30 April 2022 by Melvyn Nathanson

Interactions of zeros of of polynomials and multiplicity matrices

8 March 2022 by Melvyn Nathanson

Underapproximation by Egyptian fractions

3 February 2022 by Melvyn Nathanson

Sidon sets for linear forms

5 May 2021 by Melvyn Nathanson

Number Theory, Combinatorics

The Bose-Chowla argument for Sidon sets

28 April 2021 by Melvyn Nathanson

Multiplicative representations of integers and Ramsey's theorem

16 December 2020 by Melvyn Nathanson

Number Theory, Combinatorics

Sidon sets and perturbations

1 December 2020 by Melvyn Nathanson

Real-rooted polynomials and a generalized Hermite-Sylvester theorem

20 October 2020 by Melvyn Nathanson

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Number Theory Combinatorics History and Overview Metric Geometry Quantum Algebra Algebraic Geometry Group Theory Commutative Algebra Classical Analysis and ODEs Rings and Algebras Logic Numerical Analysis Functional Analysis