Abstract
This book focuses on a variety of old problems in number theory and analysis. The problems concern polynomials with integer coefficients and typically ask something about the size of the polynomial with an appropriate measure of size and often with some restriction on the height and the degree.
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Selected References
P. Borwein and T. Erdélyi, Polynomials and Polynomial Inequalities, Springer-Verlag, New York, 1995.
J.E. Littlewood, Some Problems in Real and Complex Analysis, D.C. Heath and Co., Lexington, MA, 1968.
M. Mignotte, Mathematics for Computer Algebra, Springer-Verlag, New York, 1992.
M. Mignotte and D. Ştefănescu, Polynomials. An Algorithmic Approach, Springer-Verlag Singapore, Singapore, 1999.
W. Rudin, Real and Complex Analysis, third edition, McGraw-Hill, New York, 1987.
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© 2002 Springer-Verlag New York, Inc.
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Borwein, P. (2002). Introduction. In: Computational Excursions in Analysis and Number Theory. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21652-2_1
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DOI: https://doi.org/10.1007/978-0-387-21652-2_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3000-2
Online ISBN: 978-0-387-21652-2
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