Sárközy's theorem for 𝓟-intersective polynomials
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Alex Rice (2013)
Acta Arithmetica
Karl-Heinz Indlekofer (1974)
Acta Arithmetica
F. Marko (1990)
Colloquium Mathematicae
S. Pirzada (2012)
Matematički Vesnik
Mihai Cipu, Tim Trudgian (2016)
Acta Arithmetica
We consider Diophantine quintuples a, b, c, d, e. These are sets of positive integers, the product of any two elements of which is one less than a perfect square. It is conjectured that there are no Diophantine quintuples; we improve on current estimates to show that there are at most Diophantine quintuples.
Dominique Foata, Guo-Niu Han (2014)
Open Mathematics
A true Tree Calculus is being developed to make a joint study of the two statistics “eoc” (end of minimal chain) and “pom” (parent of maximum leaf) on the set of secant trees. Their joint distribution restricted to the set {eoc-pom ≤ 1} is shown to satisfy two partial difference equation systems, to be symmetric and to be expressed in the form of an explicit three-variable generating function.
Andrzej Schinzel (1987)
Archivum Mathematicum
D. Strauss (1992)
Semigroup forum
Imre Ruzsa (1982)
Acta Arithmetica
Leonid Bedratyuk (2012)
Acta Arithmetica
Ferenc Mátyás (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
Dana-Picard, Thierry (2005)
Journal of Integer Sequences [electronic only]
Keith, W.J. (2010)
Integers
John Burke, William Webb (1984)
Acta Arithmetica
Canner, Judith, Jones, Lenny, Purdom, Joseph (2006)
Journal of Integer Sequences [electronic only]
Kube, Nate, Ruskey, Frank (2005)
Journal of Integer Sequences [electronic only]
Daniel Hershkowitz, Hans Schneider (1988)
Czechoslovak Mathematical Journal
Yong-Gao Chen (1998)
Acta Arithmetica
Li-Xia Dai, Yong-Gao Chen (2006)
Acta Arithmetica
Yong-Gao Chen, Li-Xia Dai (2007)
Acta Arithmetica
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