Related papers: Correction to the paper "Some remarks on Davie's u…
There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…
This paper has been withdrawn due to a crucial error in the proof of the main theorem
(One typo corrected and one incorrect statement removed. Extra details on conserved quantities and symmetry algebras added).
In this note we correct two errors in our paper "On the Homology of Completion and Torsion", arXiv:1010.4386, that appeared in Algebras and Representation Theory (2014).
We prove a recent conjecture by Ulas on reducible polynomial substitutions.
We consider singular SDEs like \begin{equation} \label{ss} dX_t = b(t, X_t) dt + A X_t dt + \sigma(t) d{L}_t , \;\; t \in [0,T], \;\; X_0 =x \in {\mathbb R}^n, \end{equation} where $A$ is a real $n \times n $ matrix, i.e., $A \in {{\mathbb…
We make two improvements upon Joyce's gluing theorems of for compact special Lagrangian submanifolds with isolated conical singularities. Firstly, we get rid of a few technical hypotheses of them. Secondly, we replace another hypothesis by…
In this short article we do not prove Fermat's last theorem. We show that the number 2 is an exceptional number in this theorem.
This paper has been withdrawn by the authors due to an error in Section 7.
This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).
An elementary gap in the proof of corollary 2.2 was found, the claim in the first version of the paper is thus retracted.
We prove a slight generalization of Theorem 4.2.1 of [BLGGT10], which weakens the assumption that $l\ge 2(n+1)$ to an adequacy hypothesis.
We show a new large sieve version of the Brun-Titchmarsh theorem.
Using Singular Rescaling We Prove Some Bifurcation Results. This note Presents short proofs for some Bifurcation results which had been appeared with other authors.
The purpose of this note is to correct statements of some assertions in \cite{l}.
We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.
This is no longer available.
The main purpose of this short note, on the one hand, to is rigorize some part of the proof of Theorem 1.3 in [11] in a simple way, and on the other hand, to give an alternative argument from local inequalities to global ones.
We give some corrections of our paper "Primes in arithmetic progressions to large moduli"[BFI]. The corrections do not affect the statements of any of the theorems in the paper. The contents of our two sequel papers [BFI2, BFI3] also remain…
The note corrects the aforementioned paper (also, arXiv:0902.4716). The consequences of the correction are traced and the examples updated.