Sárközy's theorem for 𝓟-intersective polynomials
Scharfe untere Abschätzung für die Anzahlfunktion der B-Zwillinge
Schinzel's conjecture H and divisibility in abelian linear recurring sequences
Score lists in bipartite multi hypertournaments
Searching for Diophantine quintuples
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
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
Semigroup structures on ßN.
Semigroup-valued multiplicative functions
Semi-invariants of binary forms and identities for Bernoulli, Euler and Hermite polynomials
Sequence transformations and linear recurrences of higher order
Sequences of definite integrals, factorials and double factorials.
Sequences of density .
Sequences of integers whose iterated sums are disjoint
Sequences of reducible -polynomials modulo a prime.
Sequences that satisfy .
Sequences, wedges and associated sets of complex numbers
Sequences with bounded l.c.m. of each pair of terms
Sequences with bounded l.c.m. of each pair of terms II
Sequences with bounded l.c.m. of each pair of terms, III