Sárközy's theorem for 𝓟-intersective polynomials
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Scharfe untere Abschätzung für die Anzahlfunktion der B-Zwillinge
Karl-Heinz Indlekofer (1974)
Acta Arithmetica
Schinzel's conjecture H and divisibility in abelian linear recurring sequences
F. Marko (1990)
Colloquium Mathematicae
Score lists in bipartite multi hypertournaments
S. Pirzada (2012)
Matematički Vesnik
Searching for Diophantine quintuples
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.
Secant tree calculus
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.
Second order strong divisibility sequences in an algebraic number field
Andrzej Schinzel (1987)
Archivum Mathematicum
Semigroup structures on ßN.
D. Strauss (1992)
Semigroup forum
Semigroup-valued multiplicative functions
Imre Ruzsa (1982)
Acta Arithmetica
Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials
Leonid Bedratyuk (2012)
Acta Arithmetica
Sequence transformations and linear recurrences of higher order
Ferenc Mátyás (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
Sequences of definite integrals, factorials and double factorials.
Dana-Picard, Thierry (2005)
Journal of Integer Sequences [electronic only]
Sequences of density .
Keith, W.J. (2010)
Integers
Sequences of integers whose iterated sums are disjoint
John Burke, William Webb (1984)
Acta Arithmetica
Sequences of reducible -polynomials modulo a prime.
Canner, Judith, Jones, Lenny, Purdom, Joseph (2006)
Journal of Integer Sequences [electronic only]
Sequences that satisfy .
Kube, Nate, Ruskey, Frank (2005)
Journal of Integer Sequences [electronic only]
Sequences, wedges and associated sets of complex numbers
Daniel Hershkowitz, Hans Schneider (1988)
Czechoslovak Mathematical Journal
Sequences with bounded l.c.m. of each pair of terms
Yong-Gao Chen (1998)
Acta Arithmetica
Sequences with bounded l.c.m. of each pair of terms II
Li-Xia Dai, Yong-Gao Chen (2006)
Acta Arithmetica
Sequences with bounded l.c.m. of each pair of terms, III
Yong-Gao Chen, Li-Xia Dai (2007)
Acta Arithmetica
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