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We answer a question raised in ``Peripheral elements in reduced Alexander modules'' [J. Knot Theory Ramifications 31 (2022), 2250058]. We also correct a minor error in that paper.

Geometric Topology · Mathematics 2025-11-24 Daniel S. Silver , Lorenzo Traldi

(One typo corrected and one incorrect statement removed. Extra details on conserved quantities and symmetry algebras added).

General Relativity and Quantum Cosmology · Physics 2009-10-22 James D. E. Grant

We explicitly fix a mistake in a preliminary statement of our previous paper on the conductor at a multiplanar singularity. The correction is not immediate and, though the mistake does not affect correctness of the subsequent results, the…

Commutative Algebra · Mathematics 2019-03-05 Alessandro De Paris , Ferruccio Orecchia

The inhomogeneous metric theory for the set of simultaneously $\psi$-approximable points lying on a planar curve is developed. Our results naturally incorporate the homogeneous Khintchine-Jarnik type theorems recently established in [Ann.…

Number Theory · Mathematics 2016-04-01 Victor Beresnevich , Sanju Velani , Robert C. Vaughan

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.

Algebraic Geometry · Mathematics 2022-04-12 Avraham Aizenbud , Nir Avni , Roberto Rubio

We close a gap appearing at the same time in the author's thesis "Iterated rings of bounded elements and generalizations of Schm\"udgen's theorem" [1] and in the author's article "Iterated rings of bounded elements and generalizations of…

Commutative Algebra · Mathematics 2007-05-23 Markus Schweighofer

In this comment on the paper by F. Kaneda, S.-Y. Baek, M. Ozawa and K. Edamatsu [Phys. Rev. Lett. 112, 020402, 2014, arXiv:1308.5868], we point out that the claim of having refuted Heisenberg's error-disturbance relation is unfounded since…

Quantum Physics · Physics 2014-03-18 P. Busch , P. Lahti , R. F. Werner

We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting. We also provide applications to inhomogeneous Diophantine…

Number Theory · Mathematics 2019-03-28 Sam Chow , Anish Ghosh , Lifan Guan , Antoine Marnat , David Simmons

In this new version, we correct some typos. For the readers' convenience, we also added some footnotes and more details for certain lemmas and theorems.

Differential Geometry · Mathematics 2013-01-29 Gang Tian

We examine the numerical approximation of time-dependent Hamilton-Jacobi equations on networks, providing a convergence error estimate for the semi-Lagrangian scheme introduced in (Carlini and Siconolfi, 2023), where convergence was proven…

Numerical Analysis · Mathematics 2025-10-24 Elisabetta Carlini , Valentina Coscetti , Marco Pozza

This is a list of the typographic and other errors that occur in `Automorphisms of first-order structures', by R. W. Kaye and H. D. Macpherson (eds), Oxford University Press, 1994.

Logic · Mathematics 2016-09-06 Richard Kaye

We correct the proof of Theorem~8 in [\emph{Weak product spaces of Dirichlet series}, Integral Equations Operator Theory \textbf{86} (2016), no.~4, 453--473.]

Functional Analysis · Mathematics 2023-07-06 Ole Fredrik Brevig , Karl-Mikael Perfekt

This is the article with the same title which is scheduled to appear in the January 2022 issue of the AMS Notices, with additional references which could not be provided in the accepted version due to space constraints. The figures in this…

Probability · Mathematics 2021-10-22 Shirshendu Ganguly

We provide updated predictions for elastic \gamma ${}^3$He cross sections and asymmetries that correct erroneous results we published in Phys. Rev. Lett. 98, 232303 (2007) and Nucl. Phys. A 819, 98 (2009).

Nuclear Theory · Physics 2018-07-04 Deepshikha Shukla , Andreas Nogga , Daniel R. Phillips

In this Note, we provide the comments on the paper [A note on the hit problem for the polynomial algebra in the case of odd primes and its application] which was published in the RACSAM [Rev. Real. Acad. Cienc. Exactas. Fis. Nat. Ser.…

General Mathematics · Mathematics 2025-08-04 Nguyen Sum

Corrigenda to "$L^p$ estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities", Trans. Amer. Math. Soc. 363 (2011), no. 1, 37--62.

Analysis of PDEs · Mathematics 2022-11-01 Dimiter Vassilev

This is a reply to arXiv:1409.7513 [Phys. Rev. Lett. 113, 138901 (2014)].

Quantum Physics · Physics 2014-09-30 Pawel Kurzynski , Akihito Soeda , Jayne Thompson , Dagomir Kaszlikowski

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

Mathematical Physics · Physics 2008-12-22 S. Molchanov , B. Vainberg

We correct the statements of two theorems and two corollaries in our paper [On subgroup perfect codes in Cayley graphs, European J. Combin. 91 (2021) 103228]. Proofs of these theorems and three other results are given as well.

Combinatorics · Mathematics 2022-01-21 Junyang Zhang , Sanming Zhou

We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case $p=n\geq2.$ In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the…

Functional Analysis · Mathematics 2014-08-01 Georgios Psaradakis , Daniel Spector