Related papers: A problem of Polya
We survey recent developments on the Restriction conjecture.
We prove a result on the existence of linear forms of a given Diophantine type.
The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].
We raise a question related to Helly's theorem with the added elements of geometric transformations.
We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.
We study an inequality suggested by Littlewood, our result refines a result of Bennett.
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
We provide infinitely many solutions of a Dirichlet problem on balls.
We provide a proof of the Borwein Conjecture using analytic methods.
We show that Pinney's equation [2] with a constant coefficient can be reduced to its linear part by a simple change of variables. Also, Pinney's original solution is simplified slightly.
We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.
We present an improved incremental selection algorithm of the selection algorithm presented in [1] and prove all the selected conjectures.
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
In the paper based on the question of Zhang and L\"{u}[15], we present one theorem which will improve and extend the results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.
We extend the classical Copson's inequalities so that the values of parameters involved go beyond what is currently known.
The main result of this paper supports a conjecture by C. P\'erez and E. Rela about a very recent result of theirs on self-improving theory. Also, we extend the conclusions of their theorem to the range $p<1$. As an application of our…
In this note, we give a slight improvement of a result of A. K\"uronya and V. Lozovanu about higher syzygies on abelian surfaces.
We prove the theorems which are equivalent to the Roland's results such that a new form of them allows to consider some generalizations. In particular, we give generators of primes more than a fixed prime.