Related papers: On the WALA conjecture, Alberti representations an…
We prove a recent conjecture of Hadjicostas concerning a double integral formula involving the zeta and the gamma functions.
This is a survey on Kawaguchi-Silverman conjecture.
We give a proof of a Martingale Representation Theorem using the methods of nonstandard analysis.
In this mostly expository note, we explain a proof of Tate's two conjectures [Tat65] for algebraic cycles of arbitrary codimension on certain products of elliptic curves and abelian surfaces over number fields.
We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.
Inspired by [Qiu, Wilson 2019] and [D'Adderio, Iraci, Vanden Wyngaerd 2019 - Delta Square], we formulate a generalised Delta square conjecture (valley version). Furthermore, we use similar techniques as in [Haglund, Sergel 2019] to obtain a…
In this paper, the abc conjecture is negated under certain conditions
A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. Applications to multivariate stable polynomials are given.
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.
We give a proof of the Howe duality conjecture for the (almost) equal rank dual pairs in full generality. For arbitrary dual pairs, we prove the irreducibility of the (small) theta lifts for all tempered representations. Our proof works for…
We prove that the construction of our previous paper math.QA/0103190 yields an invariant of tangle cobordisms.
We provide new sufficient conditions under which Ryser's conjecture holds.
This paper presents the best known bounds for a conjecture of Gluck and a conjecture of Navarro.
A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.
In this paper we present another proof of the analytic version of the Hahn-Banach theorem in terms of convex functionals.
We prove under some assumptions that the Tate conjecture holds for products of Fermat varieties of different degrees.
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
A conjecture concerning some pairs of interfering estimates for some integrals is formulated in three equivalent versions. Its importance for the the Paley problem for plurisubharmonic functions and for certain classes of extremal problems…
We prove three conjectures, related to the paperfolding sequence, in a recent paper [arXiv:2005.04066] of P. Barry.
We give a self-contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.