Related papers: A note on a conjecture by Ulas on polynomial subst…

New cases of the multiplicity conjecture are considered.

We give a new proof of Carlitz-Wan's conjecture, previously proved by Lenstra (1995).Our proofs are natural and intuitive, and shed new insights into the study of exceptional polynomials.

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.

This paper has been withdrawn by the author due to an error in the main proof (thanks to Carlos D'Andrea)

An observation on Hall-Littlewood polynomials.

We present a theorem about irreducibility of a polynomial that is the resultant of two others polynomials. The proof of this fact is based on the field theory. We also consider the converse theorem and some examples.

In this article, we extend some results about algebra $A$ with the group of units $U(A)$ having a special polynomial identity, Laurent polynomial. And we present a new version of B. Hartley Conjecture with these identities.

The paper presents a counterexample to the Hodge conjecture.

We survey recent developments on the Restriction conjecture.

In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results

We prove Union-Closed sets conjecture.

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

We prove a partition identity conjectured by Lassalle (Adv. in Appl. Math. 21 (1998), 457-472).

The article provides a counterexample to a conjecture by Blocki-Zwonek.

We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, 2005].

We present a conjecture about partitions, with a very elementary formulation.

I settle a conjecture of Andrews related to the Alladi-Schur polynomials. In addition, I give further relations and implications to two families of polynomials related to the Alladi-Schur polynomials.

We obtain new partial results supporting the spectral set conjecture in dimension 1.

The paper [GLZ] "L-functions of Carlitz modules, resultantal varieties and rooted binary trees" is devoted to a description of some resultantal varieties related to L-functions of Carlitz modules. It contains a conjecture that some of these…