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This Comment identifies errors in the formalism/implementation reported in Ref. 1 and discusses some aspects of that work that were not fully specified in the original publication. This Comment also provides reference numerical results for…

Chemical Physics · Physics 2023-02-15 Conner Masteran , Ashutosh Kumar , Nakul Teke , Bimal Gaudel , Takeshi Yanai , Edward F. Valeev

A C.R. note by Alano Ancona from 1980 is reexamined. Within his line of ideas in the proof two new theorems are constructed. No claim of originality. These are put into the context of later research. One far reaching conjecture is given.…

Analysis of PDEs · Mathematics 2007-05-23 Andreas Wannebo

In the paper it is demonstrated that Bells theorem is an unprovable theorem.

General Physics · Physics 2021-11-16 Han Geurdes , Koji Nagata , Tadao Nakamura , Ahmed Farouk

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

We correct an inaccuracy in the original proof

Classical Analysis and ODEs · Mathematics 2008-10-29 Pascal Auscher

We present several results, including some remarks on the Hopf Lemma.

Analysis of PDEs · Mathematics 2009-10-05 YanYan Li , Louis Nirenberg

Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler…

Differential Geometry · Mathematics 2016-05-23 Antonio J. Di Scala , Carlos Olmos

This purpose of this letter is to handle a gap that was found in the proof of Theorem 2 in the paper "The generalized stochastic likelihood decoder: random coding and expurgated bounds."

Information Theory · Computer Science 2017-07-14 Neri Merhav

I have noted a number of errors, most of them quite minor, in the {\em Encyclopedia of Cosmology} (New York and London: Garland), 1993, Norriss S. Hetherington, ed. The majority occur in my mathematically verbose article, ``Fundamental…

Astrophysics · Physics 2007-05-23 Kevin Krisciunas

This is an article, published in Izvestiya: Mathematics, 2016, Volume 80, Issue 3, which complements arxiv:2411.18492

Number Theory · Mathematics 2025-01-03 Irina Rezvyakova

For many years I have taught an advanced statistical inference course for master's students using the text of Casella and Berger (2002). The book gives a comprehensive treatment of the core topics at a level that avoids measure theory while…

Other Statistics · Statistics 2026-05-21 Werner G. Müller

We correct a small gap found in the authors' paper 'On bounds for the effective differential Nullstellensatz' (J Algebra 449:1-21, 2016). This gap is due to an inequality that does not generally hold. However, under one additional…

Commutative Algebra · Mathematics 2020-11-17 Omar Leon Sanchez , Alexey Ovchinnikov

This note is the follow up to a paper by M. Waldschmidt.

Number Theory · Mathematics 2022-07-11 Igor Nikolaev

In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the…

Chaotic Dynamics · Physics 2021-12-22 Mark Edelman

In this note, we show that a part of [5, Remark 2.2] is not correct. Some conditions are given under which the same holds.

Commutative Algebra · Mathematics 2020-05-18 Rahul Kumar , Atul Gaur

Over one year ago, a very long preprint posted on arXiv [arXiv:1709.03771] and HAL announced a proof of Lehmer's Conjecture (and of other related results). Unfortunately, as was remarked by several specialists, this proof contains a (at…

Number Theory · Mathematics 2018-09-28 Francesco Amoroso

We present a streamlined account of a recent theorem on the classification of the $L$-functions of degree 2 and conductor 1 from the extended Selberg class. We also present a more general new result dealing with functional equations…

Number Theory · Mathematics 2025-03-05 Jerzy Kaczorowski , Alberto Perelli

We give a corrected version of Corollary 3.33 in: H. Flenner, S. Kaliman, and M. Zaidenberg, Birational transformations of weighted graphs. Affine algebraic geometry. Osaka Univ. Press, 2007, 107-147.

Algebraic Geometry · Mathematics 2009-10-13 Hubert Flenner , Shulim Kaliman , Mikhail Zaidenberg

This article corrects two mistakes in the article "Coarse homology theories" [math.AT/0106183].

Algebraic Topology · Mathematics 2014-10-01 Paul D. Mitchener

It is a classic result of Selberg in the 1950's that $\theta_2 = 2/3$, where $\theta_2$ is the level of distribution of the divisor function in arithmetic progressions (defined more precisely below). Selberg applies this estimate, together…

Number Theory · Mathematics 2023-08-15 David Nguyen