68 citations · 294 across the 38 of their papers we have counts for
48 papers
Gessel-Lucas congruences for sporadic sequences
Armin Straub
For each of the known sporadic Apéry-like sequences, we prove congruences modulo that are natural extensions of the Lucas congruences modulo . This extends a result o…
On the representability of sequences as constant terms
Alin Bostan, Armin Straub, Sergey Yurkevich
A constant term sequence is a sequence of rational numbers whose -th term is the constant term of , where and $Q(\bold…
On congruence schemes for constant terms and their applications
Armin Straub
Rowland and Zeilberger devised an approach to algorithmically determine the modulo reductions of values of combinatorial sequences representable as constant terms (building o…
Sums of powers of binomials, their Apéry limits, and Franel's suspicions
Armin Straub, Wadim Zudilin
We explicitly determine the Apéry limits for the sums of powers of binomial coefficients. As an application, we prove a weak version of Franel's conjecture on the order of the recu…
Generalized Lucas congruences and linear -schemes
Joel A. Henningsen, Armin Straub
We observe that a sequence satisfies Lucas congruences modulo if and only if its values modulo can be described by a linear -scheme, as introduced by Rowland and Zeilber…
Apéry Limits: Experiments and Proofs
Marc Chamberland, Armin Straub
An important component of Apéry's proof that is irrational involves representing as the limit of the quotient of two rational solutions to a three-term recurrence. We…