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We tabulate angularly reduced fourth-order many-body corrections to matrix elements for univalent atoms, derived in [A. Derevianko and E.D. Emmons, Phys. Rev. A 65, 052115 (2002)]. In particular we focused on practically important diagrams…

Atomic Physics · Physics 2007-05-23 Andrei Derevianko

In this short note we provide clarification to the comments made in Z. Angew. Math. Phys. (2018) 69:64 on our work "Finiteness of corner vortices" [ Z. Angew. Math. Phys. (2018) 69:37].

Fluid Dynamics · Physics 2018-07-03 Jiten C Kalita

We explain how the medial quandle of a classical or virtual link can be built from the peripheral structure of the reduced Alexander module.

Geometric Topology · Mathematics 2025-11-24 Lorenzo Traldi

Let $f:\CN \rightarrow \C $ be a polynomial, which is transversal (or regular) at infinity. Let $\U=\CN\setminus f^{-1}(0)$ be the corresponding affine hypersurface complement. By using the peripheral complex associated to $f$, we give…

Algebraic Topology · Mathematics 2016-01-20 Yongqiang Liu , Laurentiu Maxim

We correct the statements and proofs of the (auxiliary) Propositions 4.1 and 4.2 of our paper `Evaluation of motivic functions, non-nullity, and integrability in fibers' in Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29…

Algebraic Geometry · Mathematics 2026-05-11 Raf Cluckers , Immanuel Halupczok

We correct the second main theorem of the previous paper "A perturbation of the Dunkl harmonic oscillator on the line", by the first two authors. The corrections concern mainly certain estimates, which were also improved by adding more…

Spectral Theory · Mathematics 2017-06-28 Jesús A. Álvarez López , Manuel Calaza , Carlos Franco

This is a corrected version of my paper "Application of integral geometry to minimal surfaces" appeared in International J. Math. vol. 4 Nr. 1 (1993), 89-111. The correction concerns Proposition 3.5. We discuss this correction in Appendix…

Differential Geometry · Mathematics 2014-01-22 Hông Vân Lê

This note contains additions to the paper 'Clustered cell decomposition in P-minimal structures' (arXiv:1612.02683). We discuss a question which was raised in that paper, on the order of clustered cells. We also consider a notion of cells…

Logic · Mathematics 2017-03-13 Saskia Chambille , Pablo Cubides Kovacsics , Eva Leenknegt

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

An argument of Y. Nikonorov completes the proof of Theorem 2.5 in "Bounded Isometries and Homogeneous Quotients", JGA 27 (2017), 56--64 [arXiv:1502.04276].

Algebraic Geometry · Mathematics 2021-11-11 Joseph A. Wolf

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

There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article and which statements there will have to be reformulated in…

Rings and Algebras · Mathematics 2020-07-29 Vladimir Gorbatsevich

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

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

We correct here two errors in our earlier paper "An algebraic model for finite loop spaces" [arXiv:1212.2033]

Algebraic Topology · Mathematics 2025-11-05 Carles Broto , Ran Levi , Bob Oliver

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

In this paper, we study several topics on additive decompositions of primitive elemements in finite fields. Also we refine some bounds obtained by Dartyge and S\'{a}rk\"{o}zy and Shparlinski.

Number Theory · Mathematics 2025-03-04 Hai-Liang Wu , Yue-Feng She

This note corrects some omissions in section 2 of the paper "Lipschitz connectivity and filling invariants in solvable groups and buildings."

Geometric Topology · Mathematics 2016-09-21 Robert Young

We complete the enumeration of the possible roots of the Alexander polynomial (both conventional and over finite fields) of a trigonal curve. The curves are not assumed proper or irreducible.

Algebraic Geometry · Mathematics 2016-09-07 Alex Degtyarev

Addendum to the paper Combinatorics of the Modular Group II The Kontsevich integrals, hep-th/9201001, by C. Itzykson and J.-B. Zuber (3 pages)

High Energy Physics - Theory · Physics 2008-02-03 C. Itzykson , J. -B. Zuber