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	Emil Artin
		Emil Artin (March 3, 1898-December 20, 1962) was an mathematician born in Vienna, Austria who spent his career in Germany (mainly in Hamburg) until the Nazi threat when he emigrated to the USA in 1937 where he was at Princeton University 1946-1958.
		The first concerns Artin's L-function for a linear representation of a Galois group; and the second the frequency with which a given integer a is a primitive root modulo primes p, when a is fixed and p varies.
		Emil Artin died in 1962, in Hamburg, Germany.
	www.ebroadcast.com.au /lookup/encyclopedia/em/Emil_Artin.html (259 words)

	Emil Artin - Wikipedia, the free encyclopedia
		Emil Artin (March 3, 1898, in Vienna – December 20, 1962, in Hamburg) was an Austrian mathematician.
		His father, also Emil Artin, was an art-dealer, and his mother was the opera singer Emma Laura-Artin.
		The first concerns Artin L-functions for a linear representation of a Galois group; and the second the frequency with which a given integer a is a primitive root modulo primes p, when a is fixed and p varies.
	en.wikipedia.org /wiki/Emil_Artin (453 words)

	Emil Artin (Site not responding. Last check: 2007-10-12)
		Emil Artin was one of the leading mathematicians of the 20th century and a major contributor to linear algebra and abstract algebra.
		Artin was born on March 3, 1898, in Vienna, Austria, and grew up in what was recently known as Czechoslovakia.
		Artin was an outstanding teacher of mathematics at all levels, from freshman calculus to seminars for colleagues.
	library.thinkquest.org /C0110693/emil.htm (263 words)

	Artin biography
		Artin's childhood was not a particularly happy one and he recounted later in his life how he had felt lonely.
		Artin himself proved that when O is the field of algebraic numbers, the subfield K of real algebraic numbers solves the problem and, moreover, it is the unique solution up to automorphisms of the field O.
		Artin and Schreier published in their famous 1926 paper their studies of all formally real fields and real closed fields, showing that a specific ordering could be defined on them.
	www-history.mcs.st-andrews.ac.uk /Biographies/Artin.html (2631 words)

	Gian-Carlo Rota
		Emil Artin loved special functions and explicit computations, and he relished Pólya and Szegö's "Aufgaben und Lehrsätze," though his lectures were the negation of any anecdotal style.
		To Emil Artin, axiomatics was a useful technique for disclosing hidden analogies (for example, the analogy between algebraic curves and algebraic number fields, and the analogy between the Riemannian hypothesis and the analogous hypothesis for infinite function fields, first explored in Emil Artin's thesis and later generalized into the "Weil conjectures").
		Emil Artin's mannerisms have been carried far and wide by his students and his students' students, and are now an everyday occurrence (whose origin will soon be forgotten) whenever an algebra course is taught.
	myhome.iolfree.ie /~alexandros/articles/artin.htm (1595 words)

	Emil Artin Summary
		Born in Vienna, Austria, Artin served in his country's army during World War I before entering the University of Leipzig, receiving a doctorate in mathematics at this famous school.
		Artin was invited to return to Germany in 1958, where he was welcomed to the University of Hamburg faculty.
		Emil Artin at the MacTutor History of Mathematics archive.
	www.bookrags.com /Emil_Artin (470 words)

	Shalen Abstract UGA Math (Site not responding. Last check: 2007-10-12)
		Artin further conjectured that these L-functions should be holomorphic away from 1.
		One important special case of Artin's conjecture can be reformulated as describing a correspondence between weight one cuspidal modular forms which are eigenforms for the Hecke operators, and two-dimensional odd irreducible complex representations of the absolute Galois group of the rationals.
		In this form the conjecture, often known as the `Strong Artin conjecture', stands as one of two notable classical cases of the Langlands conjectures for number fields; the modularity of elliptic curves over the rationals is the other.
	www.math.uga.edu /~wag/colloquium/abst-dickinson.html (159 words)

	Amazon.com: "Emil Artin": Key Phrase page (Site not responding. Last check: 2007-10-12)
		Emil Artin's (1898-1962) solution of the seventeenth Hilbert problem makes use ofthis, and the tenth problem was solved using ideas and machinery...
		But in 1923 Emil Artin conjectured a result which, while seeming quite abstract, yielded all known reciprocity laws when it was made explicit.
		The name was suggested to Schreier by his colleague at the University of Hamburg, Emil Artin, and reflects the connection with the development of the notion of a covering space that arose in the context of...
	www.amazon.com /phrase/Emil-Artin (518 words)

	Albion College Mathematical Society: Home
		Born into a family that appreciated the arts (his father was an art dealer and his mother an opera singer), he held an interest in music throughout his life, and was proficient in the flute, harpsichord, and clavichord.
		During his years in primary and secondary school, Artin’s performance in mathematics was not in any way indicative of his potential.
		Artin studied algebra and number theory at the University of Leipzig, and went on to make fundamental contributions in the areas of Ring theory, Field theory, and Algebraic Number theory.
	www.albion.edu /mathematicalsociety (235 words)

	Hans Julius Zassenhaus \| Department of Mathematics
		However under the inspiration of his teachers Emil Artin and Erich Hecke, his interests shifted to mathematics.
		[2]), written under Artin's supervision, he classified 3-fold transitive permutation groups whose elements are determined by their resrtictions to three points.
		In 1936 he was appointed Artin's assistant at Hamburg, where he remained for the next four years, despite the ouster of Artin by the Nazis.
	www.math.ohio-state.edu /history/biographies/zassenhaus (818 words)

	The Origins of Modern Algebra
		Although mathematicians are often fairly scrupulous in giving credit to the original discoverers of theorems, they also are energetic in restating these theorems in terms of concepts which the original discoverers would have been completely unfamiliar with.
		When Emil Artin taught Galois Theory, he did apparently discuss Galois's own approach.
		He tells an anecdote to the effect that he asked one of his classes how much of his book on the subject Galois himself would have recognized, and one of his students suggested that probably the title would have been the only recognizable thing in the whole book.
	www.math.hawaii.edu /~lee/algebra/history.html (3349 words)

	Joint Mathematics Colloquium (Site not responding. Last check: 2007-10-12)
		Emil Artin reformulated these results as saying that the L-functions associated to 1-dimensional complex Galois representations had analytic continuation apart from well-understood poles and conjectured that the same should be true for n-dimensional complex Galois representations.
		This conjecture could now be regarded as a precursor to the Langlands programme.
		This talk will be for non-experts; I will spend about half the talk defining complex Galois representations and their L-functions, and the other half giving statements of results and sometimes indications of proofs.
	www.math.neu.edu /bhmn/buzzard.html (153 words)

	Learn more about Emil Artin in the online encyclopedia. (Site not responding. Last check: 2007-10-12)
		Learn more about Emil Artin in the online encyclopedia.
		Enter a phrase or search word in the box below.
		Hint: Play with putting spaces before and after your words to see the different results you get.
	www.onlineencyclopedia.org /e/em/emil_artin.html (358 words)

	[No title]
		On this date in 1962, Emil Artin died.
		The previous entry dealt with permutation groups, in the context of a Jan. 2004 AMS Notices review of a book on the mathematics of juggling.
		It turns out that juggling is, in fact, related to Artin's theory of "braid groups." For details, see Juggling Braids.
	www.xanga.com /m759/50824618/item.html (137 words)

	Home — Florian "ian" Sprung
		This is a final project for a class on representation Theory taken spring 2005 with professor Gallagher.
		It is expository and discusses Emil Artin's two papers on his kind of L-functions.
		What this paper does and does not contain can be found on the first page of the notes.
	www.columbia.edu /~fes2008/artinl.html (62 words)

	AbeBooks: Search Results - Artin (Site not responding. Last check: 2007-10-12)
		Artin, Emil/ Artin/ Milgram, Arthur N. Bookseller: Books2Anywhere.com
		Artin, Emil and Milgram, Arthur N. Bookseller: Webster's Bookstore Cafe, Inc.
		Artin, Emil/ Artin/ Milgram, Arthur N. Bookseller: Paperbackshop-US
	textbook-authors.abebooks.co.uk /Author/19064/Artin.html (1333 words)

	[No title]
		This naturally prompted me to check what is on TNT on this, the feast day of St. Emil Artin.
		Figure 3 shows James Joyce (alias Dedalus), whose daughter Lucia inspired the recent entry Jazz on St. Lucia's Day -- which in turn is related, by last night's 2:45 entry and by Figure 1, to the mathematics of group theory so well expounded by the putative saint Emil Artin.
		If Pynchon plays the role of devil's advocate suggested by his creation, in Gravity's Rainbow, of the character Emil Bummer, we may hope that Rota, no longer in time but now in eternity, can be persuaded to play the important role of saint's advocate for his Emil.
	www.xanga.com /m759/50917946/item.html (480 words)

	Kevin Buzzard colloquium talk (Site not responding. Last check: 2007-10-12)
		As part of his study of finite-dimensional complex representations of certain finite Galois groups, Emil Artin in 1923 showed how to associate to each such representation a differentiable complex function, defined on the half-plane Re(z)>1.
		He conjectured that in many cases these functions should have an analytic continuation to the whole complex plane.
		No specialist knowledge of number theory or complex analysis will be required.
	math.berkeley.edu /~hwl/Col98/buzzard.html (95 words)

	The Mathematics Genealogy Project - Emil Artin
		Click here to see the students listed in chronological order.
		According to our current on-line database, Emil Artin has 34 students and 1095 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=7690 (78 words)

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