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pro vyhledávání: '"Aitken, Wayne"'
Autor:
Aitken, Wayne
Commentary on Emil Artin's "Uber eine neue Art von L-Reihen" (1924), including a modernized and expanded translation.
Externí odkaz:
http://arxiv.org/abs/2208.05014
Autor:
Aitken, Wayne
This is an extended introduction to discrete valuation rings and Dedekind domains. Some natural generalizations of Dedekind domains are also (briefly) discussed including "almost Dedekind domains", Pr\"ufer domains, Krull domains, and singular integr
Externí odkaz:
http://arxiv.org/abs/2102.11725
Autor:
Aitken, Wayne
This report is an account of freely representable groups, which are finite groups admitting linear representations whose only fixed point for a nonidentity element is the zero vector. The standard reference for such groups is Wolf (1967) where such g
Externí odkaz:
http://arxiv.org/abs/2102.00559
Autor:
Aitken, Wayne, Lemmermeyer, Franz
In this article we develop counterexamples to the Hasse principle using only techniques from undergraduate number theory and algebra. By keeping the technical prerequisites to a minimum, we hope to provide a path for nonspecialists to this interestin
Externí odkaz:
http://arxiv.org/abs/1108.6310
Autor:
Aitken, Wayne, Barrett, Jeffrey A.
Type-free systems of logic are designed to consistently handle significant instances of self-reference. Some consistent type-free systems also have the feature of allowing the sort of general abstraction or comprehension principle that infamously lea
Externí odkaz:
http://arxiv.org/abs/math/0512615
Let K be a number field, t a parameter, F=K(t) and f in K[x] a polynomial of degree d. The polynomial P_n(x,t)= f^n(x) - t in F[x] where f^n is the n-fold iterate of f, is absolutely irreducible over F; we compute a recursion for its discriminant. Le
Externí odkaz:
http://arxiv.org/abs/math/0408170
Autor:
Aitken, Wayne, Barrett, Jeffrey A.
Publikováno v:
The British Journal for the Philosophy of Science, 2010 Dec 01. 61(4), 867-874.
Externí odkaz:
https://www.jstor.org/stable/40981317
Autor:
AITKEN, WAYNE, BARRETT, JEFFREY A.
Publikováno v:
Journal of Philosophical Logic, 2008 Feb 01. 37(1), 23-43.
Externí odkaz:
https://www.jstor.org/stable/41217820
Autor:
Aitken, Wayne, Barrett, Jeffrey A.
Publikováno v:
Journal of Philosophical Logic, 2007 Feb 01. 36(1), 61-95.
Externí odkaz:
https://www.jstor.org/stable/30226887