Melvyn B. Nathanson - researchr alias

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Viewing Publication 1 - 27 from 27

2021

Sums of Finite Sets of Integers, IIMelvyn B. Nathanson. tamm, 128(10):888-896, 2021. [doi]

2018

Commutative Algebra and the Linear Diophantine Problem of FrobeniusMelvyn B. Nathanson. int, 18B, 2018. [doi]

An Elementary Proof for the Krull Dimension of a Polynomial RingMelvyn B. Nathanson. tamm, 125(7):623-637, 2018. [doi]

2017

Free monoids and forests of rational numbersMelvyn B. Nathanson. DAM, 216:662-669, 2017. [doi]

Subalgebras of a Polynomial Ring That Are Not Finitely GeneratedMelvyn B. Nathanson. tamm, 124(5):456-458, 2017. [doi]

2016

Cantor Polynomials and the Fueter-Pólya TheoremMelvyn B. Nathanson. tamm, 123(10):1001-1012, 2016. [doi]

2015

Pairs of Matrices in GL2(R≥0) That Freely GenerateMelvyn B. Nathanson. tamm, 122(8):790-792, 2015. [doi]

2014

Additive Systems and a Theorem of de BruijnMelvyn B. Nathanson. tamm, 121(1):5-17, 2014. [doi]

Irrational Numbers Associated to Sequences Without Geometric ProgressionsMelvyn B. Nathanson, Kevin O'Bryant. int, 14, 2014. [doi]

2013

Dense sets of integers with prescribed representation functionsJavier Cilleruelo, Melvyn B. Nathanson. ejc, 34(8):1297-1306, 2013. [doi]

On the Fractional Parts of Roots of Positive Real NumbersMelvyn B. Nathanson. tamm, 120(5):409-429, 2013. [doi]

Ballot Numbers, Alternating Products, and the Erdős-Heilbronn ConjectureMelvyn B. Nathanson. In Ronald L. Graham, Jaroslav Nesetril, Steve Butler, editors, The Mathematics of Paul Erdős I. pages 187-205, Springer, 2013. [doi]

On Sequences without Geometric ProgressionsMelvyn B. Nathanson, Kevin O'Bryant. int, 13, 2013. [doi]

2012

On a Partition Problem of Canfield and WilfZeljka Ljujic, Melvyn B. Nathanson. int, 12A, 2012. [doi]

Thin bases in additive number theoryMelvyn B. Nathanson. DM, 312(12-13):2069-2075, 2012. [doi]

2011

Phase Transitions in Infinitely Generated Groups, and Related Problems in Additive Number TheoryMelvyn B. Nathanson. int, 11A, 2011. [doi]

2009

Maximal Sidon sets and matroidsJ. A. Dias da Silva, Melvyn B. Nathanson. DM, 309(13):4489-4494, 2009. [doi]

2008

Perfect difference sets constructed from Sidon setsJavier Cilleruelo, Melvyn B. Nathanson. combinatorica, 28(4):401-414, 2008. [doi]

2006

Additive Number Theory and the Ring of Quantum IntegersMelvyn B. Nathanson. gtitc 2006: 505-511 [doi]

2005

Additive number theory and the ring of quantum integersMelvyn B. Nathanson. endm, 21:367, 2005. [doi]

2004

Representation functions of additive bases for abelian semigroupsMelvyn B. Nathanson. ijmmsc, 2004(30):1589-1597, 2004. [doi]

2000

Formal power series arising from multiplication of quantum integersMelvyn B. Nathanson. dimacs 2004: 145-168

1990

Simultaneous systems of representatives and combinatorial number theoryMelvyn B. Nathanson. DM, 79(2):197-205, 1990. [doi]

1987

An extremal problem for least common multiplesMelvyn B. Nathanson. DM, 64(2-3):221-228, 1987. [doi]

1980

Sumsets Contained in Infinite Sets of IntegersMelvyn B. Nathanson. JCT, 28(2):150-155, 1980.

1977

Permutations, Periodicity, and ChaosMelvyn B. Nathanson. JCT, 22(1):61-68, 1977.

1976

Partial products in finite groupsMelvyn B. Nathanson. DM, 15(2):201-203, 1976. [doi]

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