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Topic: Dirichlets theorem on diophantine approximation

	List of theorems: Encyclopedia topic (Site not responding. Last check: 2007-10-10)
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		Jordan-Schönflies theorem (Jordan-Schönflies theorem: in mathematics, the jordan-schönflies theorem in geometric topology is a sharpening...
		Lie-Kolchin theorem (Lie-Kolchin theorem: in mathematics, the lie-kolchin theorem is a theorem in the representation theory...
	www.absoluteastronomy.com /reference/list_of_theorems (6646 words)

	Search Results for Dirichlet
		Dirichlet was appointed to the Berlin Academy in 1831 and an improving salary from the university put him in a position to marry, and he married Rebecca Mendelssohn, one of the composer Felix Mendelssohn's two sisters.
		Dirichlet had a high teaching load at the University of Berlin, being also required to teach in the Military College and in 1853 he complained in a letter to his pupil Kronecker that he had thirteen lectures a week to give in addition to many other duties.
		Dirichlet is also well known for his papers on conditions for the convergence of trigonometric series and the use of the series to represent arbitrary functions.
	www-gap.dcs.st-and.ac.uk /~history/Search/historysearch.cgi?SUGGESTION=Dirichlet&CONTEXT=1 (5370 words)

	List of number theory topics: Encyclopedia topic (Site not responding. Last check: 2007-10-10)
		Dirichlet convolution (Dirichlet convolution: in mathematics, the dirichlet convolution is a binary operation defined for arithmetic...
		Dirichlet character (Dirichlet character: in number theory, a dirichlet character is a function χ from the positive integers...
		Dirichlet L-series (Dirichlet L-series: in number theory, a dirichlet character is a function χ from the positive integers...
	www.absoluteastronomy.com /reference/list_of_number_theory_topics (4846 words)

	M328K INTRO TO NUMBER THEORY (Site not responding. Last check: 2007-10-10)
		The number of topics required for coverage has been kept modest so as to allow instructors adequate time to concentrate on developing the students theorem-proving skills.
		Diophantine equations: (equations to be solved in integers), sums of squares, Pythagorean triples.
		Approximation of real numbers by rationals: Dirichlets theorem, continued fractions, Pells equation, Liousvilles theorem, algebraic and transcendental numbers, the transcendence of e and/or z.
	www.ma.utexas.edu /dev/math/Courses/S06Descriptions/M328K.html (202 words)

	Bibliography
		Keywords: Dirichlet series, analytical number theory, Stieltjes, Riemann hypothesis, Hadamard, prime number theorem.
		Keywords: Kronecker, Hilbert, Weber, Hilbert problems, Kronecker-Weber theorem, Kronecker's Jugendtraum, modular functions, modular forms, elliptic curves, complex multiplication, class-field theory, geometry and number theory, change of framework, proofs, role of errors, interpretation of a theorem.
		Keywords: diophantine equations; arithmetic of elliptic curves; Jacobi; Nesselman; Lucas; Mordell; Poincaré.
	www.rzuser.uni-heidelberg.de /~proquet2/bib.html (5203 words)

	Program
		Zero-mean cosine polynomials and Dirichlets' Theorem.
		On Littlewood's conjecture in Diophantine approximation.
		Future prospects in Diophantine Geometry and Transcendence Theory.
	www.math.u-bordeaux.fr /~stan/Colloque/program.html (243 words)

	Harvard Math Table, Mathematics Colloquium
		"A proof of a theorem of Euclid" by
		"Kronecker's Theorem on the Density of Cyclic Subgroups of (R/Z) k
		"Primes mod 4 and Dirichlets Theorem on Arithmetic Progressions"
	www.math.harvard.edu /mathtable (1660 words)

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