• Aucun résultat trouvé

Erratum to: Volume of a doubly truncated hyperbolic tetrahedron

N/A
N/A
Protected

Academic year: 2021

Partager "Erratum to: Volume of a doubly truncated hyperbolic tetrahedron"

Copied!
2
0
0

Texte intégral

(1)Aequat. Math. 88 (2014), 199–200 c Springer Basel 2014  0001-9054/13/010199-2 published online January 7, 2014 DOI 10.1007/s00010-013-0247-1. Aequationes Mathematicae. Erratum Erratum to: Volume of a doubly truncated hyperbolic tetrahedron Alexander Kolpakov and Jun Murakami. Erratum to: Aequat. Math. 85 (2013), 449–463 DOI 10.1007/s00010-012-0153-y In the original publication of the article, formulas (2), (14) and (17) contain some errors. The first named author bears the responsibility for these errors. He would like to thank Prof. Atakan T. Yakut (Nigde University), who drew the authors’ attention to this fact. The correct version of formulas (2), (14) and (17) are given below, 1. The matrix G from formula (2) should read as ⎛ ⎞ −1 − cos μ i sinh 5 i sinh 3 ⎜ − cos μ −1 i sinh 6 i sinh 2 ⎟ ⎟ G = ⎜ ⎝ −i sinh 5 −i sinh 6 −1 − cosh 1 ⎠ −i sinh 3 −i sinh 2 − cosh 1 −1 2. In formula (14), the function E should read as  . a1 − 1/a1 a1 −1/a1 E = φ(z− )ψ(z+ ) c34 + δ −φ(z+ )ψ(z− ) c34 −δ 2 2 3. Consequently, formula (17) should have the form. c − δ a1 −a−1 1 1 ∂V. 34 2 = − log.  −1 .. c + δ a1 −a1. ∂θ1 4 34. 2. The online version of the original article can be found under doi:10.1007/s00010-012-0153-y..

(2) 200. A. Kolpakov and J. Murakami. AEM. All the errors listed above do not affect the result of the original publication of the article. Alexander Kolpakov Department of Mathematics University of Fribourg chemin du Mus´ee 23 1700 Fribourg, Switzerland e-mail: kolpakov.alexander@gmail.com Jun Murakami Department of Mathematics Faculty of Science and Engineering Waseda University 3-4-1 Okubo Shinjuku-ku Tokyo 169-8555, Japan e-mail: murakami@waseda.jp.

(3)

Références

Documents relatifs

A stronger conjecture, also due to Borel, is that algebraic irrational real numbers are normal : each sequence of n digits in basis g should occur with the frequency 1/g n , for all

This conjecture, which is similar in spirit to the Hodge conjecture, is one of the central conjectures about algebraic independence and transcendental numbers, and is related to many

Find the best division of a network into 2 groups of size n1 and n2 such that the cut size is minimal, where the cut size is the total number of links between different groups...

In Chapter 5, we use the adap- tively damped Picard iterations and a restricted unigrid method to solve nonlinear diffusion problems and ensure the positivity of approximate

We were using Forest Inventory and Analysis (FIA) data to validate the diameter engine of the Forest Vegetation Simulator (FVS) by species. We’d love to have used the paired

† Department of Physics and Fribourg Center for Nanomaterials, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland. *To whom the correspondence should

China; Department of Chemistry, University of Fribourg, Pérolles, 1700 Fribourg, Switzerland; Department of Chemistry, San José State University, One Washington Square, San José,

a Department of Chemistry, University of Fribourg, chemin du Musée 9, 1700 Fribourg,