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We give a new and short proof of a theorem on k-hypertournament losing scores due to Zhou et al. [G. Zhou, T. Yao, K. Zhang, On score sequences of k-tournaments, European J. Comb., 21, 8 (2000) 993-1000.]

Discrete Mathematics · Computer Science 2010-03-13 Shariefuddin Pirzada , Guofei Zhou

This paper was removed by arXiv admin because it plagiarizes "Ding, Yong(PRC-BJN); Fan, Dashan(PRC-ANH); Pan, Yibiao(1-PITT) Weighted boundedness for a class of rough Marcinkiewicz integrals. Indiana Univ. Math. J. 48 (1999), no. 3,…

Functional Analysis · Mathematics 2007-05-23 Sadek gala

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

Analysis of PDEs · Mathematics 2014-01-14 Christian G. Boehmer

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

Differential Geometry · Mathematics 2007-05-23 Hong Huang

The paper has been withdrawn due to numerical error.

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Arunagiri

A recent paper of Trandafir and Cabello [Phys. Rev. A, 111, 022408 (2025)] contains a number of errors, inconsistencies, and inefficiencies. They are too numerous to be listed here, so we identify and discuss them in the main body of the…

Quantum Physics · Physics 2025-09-12 Mladen Pavicic

This note refers to our previous paper "The emergence of torsion in the continuum limit of distributed edge-dislocations". It identifies and fixes an error in the notion of convergence of Weitzenb\"ock manifolds defined in the paper, and in…

Differential Geometry · Mathematics 2018-02-23 Raz Kupferman , Cy Maor

This article has been withdrawn due to a mistake which is explained in version 2.

Geometric Topology · Mathematics 2007-05-23 Francois Laudenbach

In [1] we highlighted the fact that the log polynomial expansion employed in Nature Astron. 3, no.3, 272-277 (2019) [2] is a poor approximation to flat $\Lambda$CDM, so using it to infer deviations from flat $\Lambda$CDM is not…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-01 Aritra Banerjee , Eoin Ó Colgáin , Misao Sasaki , M. M. Sheikh-Jabbari

This version corrects a number of mistakes that appeared in the previous draft. In particular, the (EU-LREM) condition is sufficient for existence and uniqueness but not necessary, as we had claimed. We are grateful to P. C. B. Phillips and…

Statistics Theory · Mathematics 2025-04-15 Majid M. Al-Sadoon , Piotr Zwiernik

This paper has been temporarily withdrawn for corrections.

q-alg · Mathematics 2008-02-03 S. M. Sergeev , V. V. Bazhanov , V. V. Mangazeev

We point out that a concise proof of Theorem 2 in the article, 'On a quadratic estimate of Shafer' by L. Zhu contains a small mistake. Correcting this mistake and giving alternative proofs of Theorem 2 is the main aim of this note.

General Mathematics · Mathematics 2024-04-08 Yogesh J. Bagul , Ramkrishna M. Dhaigude

An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601, (2004). Moreover, in order to prove the relevance of…

Mathematical Physics · Physics 2007-05-23 Roberto Franzosi , Marco Pettini , Lionel Spinelli

This article presents a whirlwind tour of some results surrounding the Koebe-Andre'ev-Thurston Theorem, Bill Thurston's seminal circle packing theorem that appears in Chapter 13 of The Geometry and Topology of Three-Manifolds. It will…

Geometric Topology · Mathematics 2020-08-31 Philip L. Bowers

In this short note, we complete the description of low-degree characteristic classes of oriented 3-plane bundles over a 6-complex. Our goal is to point out and correct an error in L. M. Woodward's 1982 paper "The classification of principal…

Algebraic Topology · Mathematics 2013-09-03 Benjamin Antieau , Ben Williams

We correct the computation of one Feynman diagram in the three-loop beta functions for the long-range quartic multi-scalar model, originally presented in (2020 J. Phys. A: Math. Theor. 53 445008) [arXiv:2007.04603]. The correction requires…

High Energy Physics - Theory · Physics 2025-04-03 Dario Benedetti , Razvan Gurau , Sabine Harribey

The paper referred to in the title is Allard/Almgren 1981 [AA81]. Several months ago Francesco Maggi emailed me saying that the inequalities 5.3(4),(5) of \cite{AA81} were wrong. In fact, as he pointed out, their incorrectness is…

Differential Geometry · Mathematics 2024-07-10 William K. Allard

In 2010, Weixiao Shen pointed out to us that the proof of Theorem 3.2 of our 2002 paper in Ann ENS was flawed, and he kindly provided an argument to fix this proof. (We do not make claims on the lower bounds for the stationary density…

Dynamical Systems · Mathematics 2017-07-10 V. Baladi , M. Benedicks , V. Maume-Deschamps

We explain an error in our paper "A smooth foliation of the 5-sphere by complex surfaces", Ann. Math 156 (2002), p.915-930.

Geometric Topology · Mathematics 2011-06-06 Laurent Meersseman , Alberto Verjovsky