Related papers: A variation of Gronwall's lemma

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

We give a counterexample to a recently conjectured variant of the Penrose inequality.

We derive a discrete version of the stochastic Gronwall Lemma found in [Scheutzow, IDAQP, 2013]. The proof is based on a corresponding deterministic version of the discrete Gronwall Lemma and an inequality bounding the supremum in terms of…

A vector variational principle is proved.

A variation on the splitting principle

We prove Burkholder inequality using Bregman divergence.

We settle in the affirmative the Graham-Sloane conjecture.

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

An equivalent but useful version on the Homological Nerve Theorem is proved.

A proof of Sendov's conjecture is given.

We prove some new results related to Tanaka's formula.

In this short note, we discuss the Barndorff-Nielsen lemma, which is a generalization of well-known Borel-Cantelli lemma. Although the result stated in the Barndorff-Nielsen lemma is correct, it does not follow from the argument proposed in…

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

We prove an improved form of an expectation of Polya and discuss several related questions

We prove the Aspinwall-Morrison formula by relating their calculation to Gromov-Witten theory.

The paper presents a counterexample to the Hodge conjecture.

We present a proof of the Chevalley-Weil Theorem that is somewhat different from the proofs appearing in the literature and with somewhat weaker hypotheses, of purely topological type. We also provide a discussion of the assumptions, and an…

We obtain some results related to Romanoff's theorem.

In this note a far extension of the Banach fixed point theorem is proved.

We exploit the properties of a sequence of functions that approximate the divisor functions and combine them with an analytical formula of a delta-like sequence to give a new proof of a theorem of Gronwall on the asymptotic of the divisor…