Related papers: A note on an Counter Example of Dacorogna
We survey the classical results of the Dirichlet Approximation Theorem.
We present a simple dyadic construction that yields a new counterexample to Zygmund's conjecture. Our result recovers Soria's classical result in dimension three, through a different construction, and gives new ones in all other dimensions…
In this short note we present a simple counterexample to a nonlinear version of the Krein-Rutman theorem reported in [Nonlinear Anal. 11 (2007), 3084-3090]. Correct versions of this theorem, and related results for superadditive maps are…
$3$-diregular circulant digraph on $12$ vertices is a counterexample of Jackson's conjecture about hamiltonicity of diregular digraphs
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
This short note is a comment on a historical aspect of a famous formula dating from the 18th century.
We point out a mistake in the statement of Corollary 2 in R. C. Alperin's paper on Selberg's lemma.
Withdrawn -- a revised version will appear in due course.
The original version of the paper claimed to disprove the pseudo-Riemannian Lichnerowicz conjecture of D'Ambra and Gromov. However, the argument contains a crucial sign error in the lines following equation (8).
In this short note we prove an estimate on the rank a.e. of the tangent (p,p) vector to a a positive closed current of bidimension (p,p) in CP^k, in terms of the dimension of its trace measure.
This short note introduces a formal system of truth and paradoxicality, outlining the main motivation, and proving its $\omega$-consistency. The system is called TP, for 'Truth and Paradoxicality'.
A criticism against the conception adopted by some textbook's authors concerning ideal constraints is presented. The criticism is strengthen with two traditional examples.
This note imparts heuristic arguments and theorectical evidences that contradict the abc conjecture over the rational numbers. In addition, the rudimentary datails for transforming this problem into the doimain of equidistribution theory…
We provide a counterexample to the Lagrangian Poincar\'e recurrence conjecture of Ginzburg and Viterbo in all dimensions $6$ and greater.
A short proof to a recent theorem of Giambruno and Mishchenko is given in this note.
In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.
We give counterexamples to Okounkov's log-concavity conjecture for Littlewood-Richardson coefficients.
We give a simple proof of a recently result concerning Hardy $q$-inequalities.
I give a counter example of function field over GF(2) of genus 4 with class number one. This result contradicts a previous result in [2], Section 2 so that proof is wrong.
We give a sketch for an alternative proof of a recent result by J. Tseng.