Related papers: A Note on the Lalescu Sequence

We describe monotone maps between subsequences of the Farey sequences.

Here we prove some conjectures on the monotony of combinatorial sequences from the recent preprint of Zhi--Wei Sun.

We prove that the uniform recurrence of morphic sequences is decidable. For this we show that the number of derived sequences of uniformly recurrent morphic sequences is bounded. As a corollary we obtain that uniformly recurrent morphic…

We prove a general inequality for more than two sequences mirroring that of the discrete two-sequence Cauchy-Schwarz.

We prove some extensions of Andrews inequality.

We improve constants in the Rademacher-Menchov inequality.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

New cases of the multiplicity conjecture are considered.

These notes are a self-contained short proof of the stability of persistence diagrams.

We give a generalization of Wolstenholme's harmonic series congruence for the Lucas sequences.

We study the uniqueness and regularity of minimizing movements solutions of a droplet model in the case of piecewise monotone forcing. We show that such solutions evolve uniquely on each interval of monotonicity, but branching…

In the paper, we generalize some congruences of Lehmer for general composite numbers.

We prove a stability version of the Pr\'ekopa-Leindler inequality.

A proof of Sendov's conjecture is given.

We introduce the notion of infinitely log-monotonic sequences. By establishing a connection between completely monotonic functions and infinitely log-monotonic sequences, we show that the sequences of the Bernoulli numbers, the Catalan…

We extend to the case of a system involving p-Laplacians, the monotonicity and symmetry results of Damascelli and Pacella obtained in the case of a scalar p-Laplace equation with $1<p<2$. For this purpose, we use the moving hyperplanes…

Almost surely in an Angelesco ensemble,the normalized counting measure of a random point converges weak* to the equilibrium measure.This result, for orthogonal polynomial ensembles, is well-known.

A key issue in the handling of temporal data is the treatment of persistence; in most approaches it consists in inferring defeasible confusions by extrapolating from the actual knowledge of the history of the world; we propose here a…

A proof is given of Rosenthal's \(\ell_1\) theorem.

In the preceding work \cite{watanabe3}, it is shown that the solution to the BCS gap equation for superconductivity is continuous with respect to both the temperature and the energy under the restriction that the temperature is very small.…