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In this note I describe some modification of the Langlands correspondence and explain why it is more natural. I will also discuss its significance to the theory of automorphic L-functions.

Representation Theory · Mathematics 2020-05-20 Joseph Bernstein

This is a corrigendum of Lemma 9.1 of the paper [FOOO3] in the title. This lemma is not correct as pointed out by A. Daemi and a referee of the paper [DF]. The corrigendum does not affect the applications of this lemma in [FOOO3] and other…

Symplectic Geometry · Mathematics 2024-04-01 Kenji Fukaya , Yong-Geun Oh , Hiroshi Ohta , Kaoru Ono

Several references added, typos corrected.

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Blok , L. Koyrakh , M. Shifman , A. I. Vainshtein

We extend the correspondence between adS-supergravities and superconformal field theories on the adS boundary to a correspondence between gauged supergravities (typically with non-compact gauge groups) and quantum field theories on domain…

High Energy Physics - Theory · Physics 2009-10-31 H. J. Boonstra , K. Skenderis , P. K. Townsend

There were some errors in paper hep-th/9303018 in formulas 6.1, 6.6, 6.8, 6.11. These errors have been corrected in the present version of this paper. There are also some minor changes in the introduction.

High Energy Physics - Theory · Physics 2009-10-22 Pavel Etingof

In this note we rectify the proof of Theorem 3.11 in [arXiv:2403.02876]. We also present a set of examples at the end discussing various cases.

Commutative Algebra · Mathematics 2026-04-14 Neena Gupta , Sourav Sen

The aim of this article is to give some improvements of Jordan-Steckin and Becker-Stark inequalities discussed in [1].

Classical Analysis and ODEs · Mathematics 2018-02-28 Marija Nenezic , Ling Zhu

Sufficient conditions for linear electrodynamics with real Dirac field are derived.

Quantum Physics · Physics 2007-05-23 Srecko Botric

This note complements our paper "Categoricity-like properties in the first order realm" (Journal for the Philosophy of Mathematics, 2024).

Logic · Mathematics 2026-03-10 Ali Enayat , Mateusz Łełyk

The result in theorem 2.1 has been strengthened (see theorem 2.3) and the remarks in the introduction and the text adapted to this new result. Also some misprints in the previous version have been corrected.

Number Theory · Mathematics 2007-05-23 Volker Heiermann

The Geometry of planar domain walls is studied. It is argued that the planar walls indeed have plane symmetry. In the Minkowski coordinates the walls are mapped into revolution paraboloids.

General Relativity and Quantum Cosmology · Physics 2009-07-07 F. M. Paiva , Anzhong Wang

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

Classical Analysis and ODEs · Mathematics 2009-03-04 N. S. Hoang , A. G. Ramm

The sentence, 11th line below Eq. (30), starting with "Further in [14] one has included all interference terms ...." is wrong and has been corrected. Second line below Eq. (40) m_bar(m)=m is replaced by m_bar(\mu_0)=\mu_0 with \mu_0=4.10…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Ravindran , W. L. van Neerven

Recently, we discovered a mistake in our Letter on phase dynamics in granular d-wave superconductors, which we corrected in an Erratum published last week. This is an expanded version of the Erratum, containing details and supporting…

Superconductivity · Physics 2009-11-10 Yogesh N. Joglekar , A. H. Castro Neto , Alexander V. Balatsky

The aim of this short note is to give counterexamples to two results by D. Y. Gao [5, Th. 16], [4, Th. 2] and to improve a related result by S.-C. Fang, D. Y. Gao, R.-L. Sheu and S.-Y. Wu [1, Th. 3].

Optimization and Control · Mathematics 2010-08-26 M. D. Voisei , C. Zalinescu

I describe domain walls and domain wall lattices in non-Abelian models.

High Energy Physics - Theory · Physics 2007-05-23 Tanmay Vachaspati

We give a short proof of the convergence to the boundary of Riemann maps on varying domains. Our proof provides a uniform approach to several ad-hoc constructions that have recently appeared in the literature.

Complex Variables · Mathematics 2018-02-07 Jan Pel , Han Peters , Erlend Fornaess Wold

Improved expansion in width is applied to a curved domain wall in nonrelativistic dissipative $\lambda(\Phi^2 - v^2)^2 $ model with real scalar order parameter $\Phi$. Approximate analytic description of such a domain wall to second order…

High Energy Physics - Theory · Physics 2007-05-23 H. Arodź

We give in this article necessary and sufficient conditions on the topology of rationally and polynomially convex domains.

Complex Variables · Mathematics 2014-02-28 Kai Cieliebak , Yakov Eliashberg

Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir
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