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This version corrects a wrong proof of Proposition 6.3.2 and simplifies the exposition in Section 6.

Algebraic Geometry · Mathematics 2016-08-04 Bruno Kahn , R. Sujatha

In this note we improve the parameter $q$ that appears in Theorem 1 obtained by the author in [Math. Ineq. \& appl., Vol 19 (3) (2016), 1013-1030].

Classical Analysis and ODEs · Mathematics 2025-12-22 Pablo Rocha

The original version of the paper was published in Contemporary Mathematics 378 ``Groups, Languages, Algorithms''; 2005, pp. 319-348. This is a modified version with Appendix that holds a corrected formulation of Proposition 4.1.

Group Theory · Mathematics 2007-05-23 E. S. Esyp , I. V. Kazachkov , V. N. Remeslennikov

This is a correction to the afore-mentioned paper in Duke Math. J. vol. 75 (1994), 99-119 by S. Keel, K. Matsuki, and J. McKernan. We completely rewrite Chapter 6 according to the original manuscript of the second author, in order to fix…

Algebraic Geometry · Mathematics 2007-05-23 Kenji Matsuki

In the present article, we have given a corrigendum to our paper "Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers" published in Journal of In- equalities and Applications (2015) 2015:249.

Classical Analysis and ODEs · Mathematics 2015-11-30 M. Mursaleen , Md. Nasiruzzaman , Ashirbayev Nurgali

A gap in the proof of Theorem 3.5 in the paper ``A new iteration process for approximation of common fixed points for finite families of total asymtotically nonexpansive mappings". Int. J. Math. Math. Sci. vol. 2009,…

Functional Analysis · Mathematics 2012-04-10 C. E. Chidume , E. U. Ofoedu

These are the notes from my courses on the arithmetic of quadratic forms.

Number Theory · Mathematics 2021-03-23 Rainer Schulze-Pillot

A straightforward 3-point quadrature formula of closed type is derived that improves on Simpson's rule. Just using the additional information of the integrand's derivative at the two endpoints we show the error is sixth order in grid…

Numerical Analysis · Mathematics 2025-10-20 Nenad Ujevic , A. J. Roberts

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

In their comment, de Almedia and Palazzo \cite{comment} discovered an error in my earlier paper concerning the construction of quantum convolutional codes (quant-ph/9712029). This error can be repaired by modifying the method of code…

Quantum Physics · Physics 2009-11-11 H. F. Chau

This note corrects conditions in Proposition 3.4 and Theorem 5.2(ii) and comments on imprecisions in Propositions 4.2 and 4.4 in Fissler and Ziegel (2016).

Statistics Theory · Mathematics 2021-02-01 Tobias Fissler , Johanna F. Ziegel

In this article we consider a method of proving a class of inequalities of the form (1). The method is based on the precise approximations of the sine and cosine functions by Maclaurin polynomials of given order. By using this method we…

Classical Analysis and ODEs · Mathematics 2019-10-15 Branko Malesevic , Milica Makragic

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''.

Number Theory · Mathematics 2025-10-23 Jan Hendrik Bruinier , Martin Raum

This paper is an enhanced version of a more than decade-older paper with a similar title. Many formulae involving both finite and infinite sums of digamma and polygamma functions up to quadratic order, few of which appear in standard…

Classical Analysis and ODEs · Mathematics 2017-10-17 Michael Milgram

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

Quantum Physics · Physics 2007-05-23 Masahito Hayashi

In the paper [Hong-Shi Zong, Wei-Min Sun, Phys. Lett. B 640 (2006) 196], the authors claim that our proof of the inconsistency of the ladder approximation to QCD [Phys. Lett. B 611 (2005) 129] was incorrect. However, their claim is based on…

High Energy Physics - Phenomenology · Physics 2010-11-05 V. Gogokhia

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 erratum corrects the article arXiv:0806.2044 published in Ann. Probab. 36 (2008) 931--970

Probability · Mathematics 2012-05-28 Zhen-Qing Chen , Patrick J. Fitzsimmons , Kazuhiro Kuwae , Tu-Sheng Zhang

We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math. 17 (2013), 89-101] and the authors [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24]. to the case where in the measures of estimations there are used…

Classical Analysis and ODEs · Mathematics 2019-04-08 Wlodzimierz Lenski , Bogdan Szal

Our published paper contains an incorrect statement of a result due to Artin and Zhang. This corrigendum gives the correct statement of their result and includes a new result that allows us to use their result to prove our main theorem.…

Rings and Algebras · Mathematics 2012-01-24 Cody Holdaway , S. Paul Smith