Stern polynomials and double-limit continued fractions
Stern Polynomials as Numerators of Continued Fractions
It is proved that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, Milutinović and Petr [Adv. Appl. Math. 39 (2007)] is the numerator of a continued fraction of n terms. This generalizes a result of Graham, Knuth and Patashnik concerning the Stern sequence Bₙ(1). As an application, the degree of Bₙ(t) is expressed in terms of the binary expansion of n.
Stickelberger subideals related to Kummer type congruences
Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics
Stirling pairs
Strong arithmetic properties of the integral solutions of X³ + DY³ + D²Z³ - 3DXYZ = 1, where D = M³ ± 1, M ∈ ℤ*
Strong Riesz sets and polynomials
Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients
We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.
Strongly summable ultrafilters on N and small maximal subgroups of ßN.
Structures related to Pascal’s triangle modulo and their elementary theories
Sturm numbers and substitution invariance of 3iet words.
Sub-bases of pleasant h-bases
Subprincipal closed ideals in ßN.
Subsequence sums of zero-sum free sequences over finite abelian groups
Let G be a finite abelian group of rank r and let X be a zero-sum free sequence over G whose support supp(X) generates G. In 2009, Pixton proved that for r ≤ 3. We show that this result also holds for abelian groups G of rank 4 if the smallest prime p dividing |G| satisfies p ≥ 13.
Subsequences of binary recursive sequences
Subset sums avoiding quadratic nonresidues
Subset sums modulo a prime
Substitution dynamical systems : algebraic characterization of eigenvalues
Substitution invariant cutting sequences
Substitution invariant sturmian bisequences
We prove that a Sturmian bisequence, with slope and intercept , is fixed by some non-trivial substitution if and only if is a Sturm number and belongs to . We also detail a complementary system of integers connected with Beatty bisequences.