Related papers: On the Landau-Siegel Zeros Conjecture

The article presents the proof of Casas-Alvero conjecture.

New cases of the multiplicity conjecture are considered.

We provide new sufficient conditions under which Ryser's conjecture holds.

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

We formulate a conjecture about extra zeros of p-adic L-functions at near central points which generalises the conjecture formulated in our previous paper. We prove that this conjecture is compatible with Perrin-Riou's theory of p-adic…

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

New version, including a variant of Quillen's proof of the Solomon-Tits theorem.

We give a new proof of Tietze Theorem on the convergence of infinite semi-regular continued fractions.

Assuming the existence of Siegel zeros, we prove that there exists an increasing sequence of positive integers for which Chowla's Conjecture on $k$-point correlations of the Liouville function holds. This extends work of Germ\'an and…

In this paper, we prove a conjecture of Schnell in the surface case.

We survey recent developments on the Restriction conjecture.

In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.

A proof of the Riemann hypothesis using the reflection principle is presented.

We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponential function over Tate algebras and allied functions. Another purpose of the present paper is to widen the horizons of possible investigations…

We prove a version of the Extra-zero conjecture formulated by the first named author for p-adic L-functions associated to Rankin-Selberg convolutions of modular forms of the same weight. The novelty of this result is to provide strong…

We give a proof of some small weight and level cases of Serre's conjecture.

In this paper we prove the validity of a formula for computing the Alexander invariant which was originally conjectured by Bar-Natan and Dancso in [BND].

We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures.

In this article, we give proofs on the Arnold Lagrangian intersection conjecture on the cotangent bundles, Arnold-Givental Lagrangian intersection conjecture and the Arnold fixed point conjecture.

Assuming that Siegel zeros exist, we prove a hybrid version of the Chowla and Hardy--Littlewood prime tuples conjectures. Thus, for an infinite sequence of natural numbers $x$, and any distinct integers $h_1,\dots,h_k,h'_1,\dots,h'_\ell$,…