University of South Alabama

output

19982025

most citedSearches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma

635 citations

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7 papers · 1 filter

math.NT2022

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 $n$ -th term is the constant term of $P^{n} (x) Q (x)$ , where $P (x)$ and $Q(\bold…

math.NT2021★ 3 cited

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…

math.NT2018★ 10 cited

Interpolated sequences and critical $L$ -values of modular forms

Robert Osburn, Armin Straub

Recently, Zagier expressed an interpolated version of the Apéry numbers for $ζ (3)$ in terms of a critical $L$ -value of a modular form of weight 4. We extend this evaluation in two…

math.NT2018★ 5 cited

Short walk adventures

Armin Straub, Wadim Zudilin

We review recent development of short uniform random walks, with a focus on its connection to (zeta) Mahler measures and modular parametrisation of the density functions. Furthermo…

math.NT2017★ 9 cited

Sequences, modular forms and cellular integrals

Dermot McCarthy, Robert Osburn, Armin Straub

It is well-known that the Apéry sequences which arise in the irrationality proofs for $ζ (2)$ and $ζ (3)$ satisfy many intriguing arithmetic properties and are related to the $p$ th F…

math.NT2016★ 4 cited

Crouching AGM, Hidden Modularity

Shaun Cooper, Jesús Guillera, Armin Straub +1

Special arithmetic series $f (x) = \sum_{n = 0}^{\infty} c_{n} x^{n}$ , whose coefficients $c_{n}$ are normally given as certain binomial sums, satisfy "self-replicating" functional identities.…