Related papers: A variation of Gronwall's lemma

We complete the proof of a Siegel type statement for finitely generated $\Phi$-submodules of $\mathbb{G}_a$ under the action of a Drinfeld module $\Phi$.

We prove mean comparison from a different perspective, where we introduce the concept of partial convolution.

We deduce a special case of a theorem of M. Haiman concerning alternating polynomials in 2n variables from our results about almost commuting variety, obtained earlier in a joint work with W.-L. Gan.

We prove a Chernoff-type upper variance bound for the multinomial and the negative multinomial distribution. An application is also given.

In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.

We study an inequality suggested by Littlewood, our result refines a result of Bennett.

In this short note, we briefly discuss the Borel-Cantelli lemma and propose a new generalization of the first part of it.

We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.

In this short note we prove the convexity of minimizers of some variational problem in the Gauss space. This proof is based on a geometric version of an older argument due to Korevaar.

In this article using elementary school level Geometry we observe an alternative proof of Pythagorean Theorem from Heron's Formula.

We survey recent developments on the Restriction conjecture.

We present a short and self-contained proof of the choosability version of Brooks' theorem.

We present a stability version of H\"older's inequality, incorporating an extra term that measures the deviation from equality. Applications are given.

We prove a version of adelic descent for continuous localizing invariants.

We prove new results on the derivative of the Minkowski question mark function. Some of our theorems are non-improvable.

We prove a recent conjecture by Ulas on reducible polynomial substitutions.

In this note we give a detailed proof of a theorem of Aubin.

We establish some new generalizations of Erd\H{o}s-Mordell inequality by adding weights to its terms. Using these generalizations, we derived strengthened versions of the original Erd\H{o}s-Mordell inequality. We also found two other…

We prove that the system of Gromov-Witten invariants of the product of two varieties is equal to the tensor product of the systems of Gromov-Witten invariants of the two factors.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.