List of works - Melvyn Nathanson

A Short Proof of Cauchy's Polygonal Number Theorem

A nonstandard proof of continuity of affine varieties

scientific article published in 2022

Adding Distinct Congruence Classes Modulo a Prime

Additive Systems and a Theorem of de Bruijn

Additive bases with many representations

scientific article published in 1989

An American Mathematician in Moscow, or How I Destroyed the Soviet Union

An Elementary Proof for the Krull Dimension of a Polynomial Ring

Cantor Polynomials and the Fueter-Pólya Theorem

scientific paper

Catalan's Equation in K(t)

Essential Components in Discrete Groups

Independence of solution sets and minimal asymptotic bases

scientific article published in 1995

Lagrange's Theorem with N 1/3 Squares

scientific article published in June 1980

Nonbases of density zero not contained in maximal nonbases

scientific article published in June 1977

Number Theory and Semigroups of Intermediate Growth

On the Fractional Parts of Roots of Positive Real Numbers

One, Two, Many: Individuality and Collectivity in Mathematics

Oscillations of bases for the natural numbers

scientific article published in December 1975

Partitions of bases into disjoint unions of bases

scientific article published in May 1988

Partitions of the natural numbers into infinitely oscillating bases and nonbases

scientific article published in December 1976

Prime polynomial sequences

scientific article published in December 1976

Sidon sets for linear forms

scientific article published in 2022

Subalgebras of a Polynomial Ring That Are Not Finitely Generated

Sumsets containing infinite arithmetic progressions

scientific article published in February 1988

The Bose-Chowla argument for Sidon sets

scientific article published in 2022

The Polynomial Method and Restricted Sums of Congruence Classes

scientific article (publication date: February 1996)

Underapproximation by Egyptian fractions

scientific article published in 2023

List of works by Melvyn Nathanson

A Short Proof of Cauchy's Polygonal Number Theorem

A nonstandard proof of continuity of affine varieties

Adding Distinct Congruence Classes Modulo a Prime

Additive Systems and a Theorem of de Bruijn

Additive bases with many representations

An American Mathematician in Moscow, or How I Destroyed the Soviet Union

An Elementary Proof for the Krull Dimension of a Polynomial Ring

Cantor Polynomials and the Fueter-Pólya Theorem

Catalan's Equation in K(t)

Essential Components in Discrete Groups

Independence of solution sets and minimal asymptotic bases

Lagrange's Theorem with N 1/3 Squares

Nonbases of density zero not contained in maximal nonbases

Number Theory and Semigroups of Intermediate Growth

On the Fractional Parts of Roots of Positive Real Numbers

One, Two, Many: Individuality and Collectivity in Mathematics

Oscillations of bases for the natural numbers

Partitions of bases into disjoint unions of bases

Partitions of the natural numbers into infinitely oscillating bases and nonbases

Prime polynomial sequences

Sidon sets for linear forms

Subalgebras of a Polynomial Ring That Are Not Finitely Generated

Sumsets containing infinite arithmetic progressions

The Bose-Chowla argument for Sidon sets

The Polynomial Method and Restricted Sums of Congruence Classes

Underapproximation by Egyptian fractions