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1 day ago · Liouville number. In number theory, a Liouville number is a real number with the property that, for every positive integer , there exists a pair of integers with such that. Liouville numbers are "almost rational ", and can thus be approximated "quite closely" by sequences of rational numbers.
2 days ago · In the years 1798 and 1799 Gauss wrote a voluminous compilation of all these results in the Disquisitiones Arithmeticae, published in 1801, that consolidated number theory as a discipline and covered both elementary and algebraic number theory.
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3 days ago · Mathematics. History. Outline. Index. Areas. Number theory. Geometry. Algebra. Calculus and Analysis. Discrete mathematics. Logic and Set theory. Probability. Statistics and Decision theory.
5 days ago · Number theory seminars. Next seminar: Random multiplicative functions and non-Gaussian central limit theorem. 09 May 2024 16:00. Junior number theory seminars. Next seminar: TBC. 13 May 2024 16:00.
May 21, 2024 · Algebraic Number Theory, edited by J.W.S. Cassels and A. Fröhlich. Published by the London Mathematical Society. ISBN-10: 0950273422, ISBN-13: 978-0950273426. First printed in 1967, this book has been essential reading for aspiring algebraic number theorists for more than fifty years.
1 day ago · The conjectures below are some of the most famous open conjectures. Goldbach's Conjecture: (proposed 1742 by Christian Goldbach) Every even integer greater than \(2\) can be expressed as the sum of two (not necessarily distinct) prime numbers.
2 days ago · 3 Credits Hours (Lecture - Discussion - Lab): 3-0-0 Prerequisites: MA 163 and MA 211 or instructor permission. Peano’s axioms, Euclidean algorithm, congruence, quadratic reciprocity law, Gaussian integers, continued fractions, Diophantine equations and theory of equations.