منابع مشابه
The Legacy of Kurt Mahler
I hope that you can continue with your preparing of my collected works. When my old papers first appeared, they produced little interest in the mathematical world, and it was only in recent times that they have been rediscovered and found useful. So a collection of all my papers may repair this position! —(Kurt Mahler, in his last letter to Alf van der Poorten) The quote at the beginning of thi...
متن کاملThe values of Mahler measures
We investigate the set M∗ of numbers which occur as Mahler measures of integer polynomials and the subset M of Mahler measures of algebraic numbers (that is, of irreducible integer polynomials). We prove that every number α of degree d in M∗ is the Mahler measure of a separable integer polynomial of degree at most ∑ 1≤r≤d/2 ( d r ) with all its roots lying in the Galois closure F of Q(α), and e...
متن کاملOn the Mahler Measure Of
We prove a conjectured formula relating the Mahler measure of the Laurent polynomial 1 + X + X−1 + Y + Y −1, to the L-series of a conductor 15 elliptic curve.
متن کاملReflections on Kurt Gödel
Except for a few minor corrections this second printing is identical to the first ([Wang 1987]). The book is meant to be a first attempt to consider G’s life and work as a whole within an inclusive context that, except maybe for chapters 6, 10, and 11, is accessible to most thoughtful people. The many personal contacts that W had with G during the later years of G’s life makes him an important ...
متن کاملOn the Davenport-Mahler bound
We prove that the Davenport-Mahler bound holds for arbitrary graphs with vertices on the set of roots of a given univariate polynomial with complex coefficients. Introduction The Davenport-Mahler bound is a lower bound for the product of the lengths of the edges on a graph whose vertices are the complex roots of a given univariate polynomial P ∈ C[X], under certain assumptions. Its origins are ...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2015
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti1241