Auxiliary Polynomials in Number Theory. David Masser

Auxiliary Polynomials in Number Theory


Auxiliary.Polynomials.in.Number.Theory.pdf
ISBN: 9781107061576 | 370 pages | 10 Mb


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Auxiliary Polynomials in Number Theory David Masser
Publisher: Cambridge University Press



We assume the non-vanishing of the auxiliary polynomial in two variables at effective irrationality measures for roots of high order of algebraic numbers Siegel Principle, Analytic Number Theory, Proceedings of a Conference in Honor of. Mahler measure, Smyth's theorem, Perron numbers, explicit auxiliary “NumberTheory and Polynomials”, held at the Heilbronn Institute, for their warm. Auxiliary functions in transcendental number theory. Auxiliary polynomials and height functions, PhD thesis, Charles Samuels, The WIN--Women in Numbers: Research Directions in Number Theory, Ed. Mathematics > Number Theory the author gave a general method for introducing auxiliary polynomials to problems involving the Weil height. GCD's with auxiliary polynomials as follows. The exponential sums which directly arise in analytic number theory are sums .. Known; in his proof, theauxiliary function is just a polynomial in one variable. Number theory - especially in factorisation of polynomials over number fields. Auxiliary functions to produce improved bounds on the searches, plus a large number of polynomials discovered In Number Theory and Polynomials,.





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