Related papers: A counterexample of two Romanov type conjectures
In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].
We derive an efficient CH-type inequality. Quantum mechanics violates our proposed inequality independent of the detection-efficiency problem.
In this paper we present several counterexamples to Rasmussen's conjecture that the concordance invariant coming from Khovanov homology is equal to twice the invariant coming from Ozsv{\'a}th-Szab{\'o} Floer homology. The counterexamples…
The said paper [Su2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is false.
In this short note we show, providing counterexamples, that the "two important theorems" in the recent paper [Y, Yuan, Global optimization solutions to a class of non-convex quadratic minimization problems with quadratic constraints, in…
We give an example for the Kuznetsov-Shinder conjecture, with infinitely many non-isomorphic D-equivalent and L-equivalent varieties.
We give a proof of some small weight and level cases of Serre's conjecture.
We prove the Effective Bogomolov Conjecture, and so the Bogomolov Conjecture, over a function field of characteristic 0 by proving Zhang's Conjecture about certain invariants of metrized graphs. In the function field case, these conjectures…
We disprove a conjecture of Simon for higher-order Szego theorems for orthogonal polynomials on the unit circle and propose a modified version of the conjecture.
In this paper, we prove a conjecture of Schnell in the surface case.
Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.
We prove recent conjectures of Chern concerning nonnegativity of a certain q-series related to parity bias in integer partitions.
In an earlier work [K. Castillo et al., J. Math. Anal. Appl., 514 (2022) 126358], we give positive answer to the first, and apparently more easy, part of a conjecture of M. Ismail concerning the characterization of the continuous $q$-Jacobi…
This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.
We give a counterexample to the proof in the literature [K-Theory 25 (2002), 215-231] of the existence of linear representatives of higher Chow groups of number fields.
We provide a simple explicit counterexample to a group completion conjecture for simplicial monoids attributed to JC Moore.
We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1, 2] are non-homeomorphic. Based on the structure obtained from the proof, we also show that every…
In this note we prove a weighted version of the Khintchine inequalities.
We prove that a strong version of Chang's Conjecture, equivalent to the Weak Reflection Principle at $\omega_2$, together with $2^\omega=\omega_2$, imply there are no $\omega_2$-Aronszajn trees.
We obtain simple proofs of certain inequalites for bivariate means.