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This is a survey on weight enumerators, zeta functions and Riemann hypothesis for linear and algebraic-geometry codes.

Information Theory · Computer Science 2018-07-17 Artur Elezi , Tony Shaska

Estimating the coefficient functionals on various classes of holomorphic functions traditionally forms an important field of geometric complex analysis and its mathematical and physical applications. These coefficients reflect fundamental…

Complex Variables · Mathematics 2025-07-29 Samuel L. Krushkal

Rejoinder to "Feature Matching in Time Series Modeling" by Y. Xia and H. Tong [arXiv:1104.3073]

Methodology · Statistics 2012-01-09 Yingcun Xia , Howell Tong

We correct mistakes in the paper Kuhlmann, F.-V.: Value groups, residue fields and bad places of rational function fields, Trans. Amer. Math. Soc. 356 (2004) [arXiv:1003.5685] and report on recent new developments which settle cases left…

Commutative Algebra · Mathematics 2014-07-15 Anna Blaszczok , Franz-Viktor Kuhlmann

It is a collection of problems and exercises of geodesy and the theory of errors.

History and Overview · Mathematics 2017-01-02 Abdelmajid Ben Hadj Salem

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

This article will appear in the Encyclopedia of Mathematical Physics (Elsevier, 2006).

High Energy Physics - Theory · Physics 2007-05-23 Matthias R. Gaberdiel

We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]

Classical Analysis and ODEs · Mathematics 2008-10-29 Pascal Auscher , Frédéric Bernicot , Jiman Zhao

This is a survey of some recent results concerning polynomial inequalities and polynomial approximation of functions in the complex plane. The results are achieved by the application of methods and techniques of modern geometric function…

Complex Variables · Mathematics 2007-05-23 Vladimir Andrievskii

The publication by Gagunashvili [arXiv:1011.0662] suffers from several caveats: i) The method is based upon the false assumption that the median of chi square distributed random variables is chi square distributed. ii) The information…

Data Analysis, Statistics and Probability · Physics 2012-09-11 G. Bohm , G. Zech

The paper aims to give an account, both historical and geometric, on the diverse geography of rational parametrizations of moduli spaces related to curves. It is a contribution to the book Handbook of Moduli, editors G. Farkas and I.…

Algebraic Geometry · Mathematics 2011-12-30 Alessandro Verra

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

This note is the sequel of "Geometric structures as variational objects, I." It generalizes the main result and perspectives of that work to a class of geometric structures that includes integrable almost-complex structures.

Differential Geometry · Mathematics 2022-02-18 Gabriella Clemente

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

The authors survey recent results in special functions, particularly the gamma function and the Gaussian hypergeometric function.

Classical Analysis and ODEs · Mathematics 2007-12-27 G. D. Anderson , M. K. Vamanamurthy , M. Vuorinen

This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On a characterization of critical points of the scalar curvature functional (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 211-217 (2000), Zbl.…

Differential Geometry · Mathematics 2021-12-03 Yu. G. Nikonorov

Here we present in a single essay a combination and completion of the several aspects of the problem of randomness of individual objects which of necessity occur scattered in our texbook "An Introduction to Kolmogorov Complexity and Its…

Probability · Mathematics 2007-06-13 Paul M. B. Vitanyi

(One typo corrected and one incorrect statement removed. Extra details on conserved quantities and symmetry algebras added).

General Relativity and Quantum Cosmology · Physics 2009-10-22 James D. E. Grant

In this article we study devlop some fundaments for a function theory in the 16-dimensional complexified octonions.

Complex Variables · Mathematics 2026-05-28 Rolf Sören Krausshar , Heikki Orelma

This survey article (which will appear as a chapter in the book ``Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions'', Springer-Verlag) provides a small collection of basic material on multiple…

Classical Analysis and ODEs · Mathematics 2019-02-22 Michael J. Schlosser