Results 81 to 90 of about 545 (160)
Class number of (v, n, M)-extensions [PDF]
, 2001 An analogue of cyclotomic number fields for function fields over the finite held F-q was investigated by L. Carlitz in 1935 and has been studied recently by D. Hayes, M. Rosen, S. Galovich and others. For each nonzero polynomial M in F-q[T], we denote by
Alkam, O, Bilhan, M
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Unramified Extensions of the Cyclotomic Z_2-Extension of Q(sqrt(d),i) [PDF]
, 2014 Let F0 = Q((-d)½), K0 = Q(d½), and L0 = Q(d½, i) with d a square-free positive integer such that 2 does not divide d. Let Lj = L0(zeta22+j) so that the fields Lj are the cyclotomic Z2-extension of L0.
Blagg, David
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The Stickelberger Elements and the Cyclotomic Units in the Cyclotomic $\Bbb Z_p$-Extensions
, 2001 For an odd prime number $p$ and a cyclotomic field $K$, we will describe a relation between the Stickelberger element and the cyclotomic unit which are defined with respect to the cyclotomic $\Zp$-extension over $K$. This is a generalization of a theorem
Tsuji Takae
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Belyi Function whose Grothendieck Dessin is a Flower Tree with Two Ramification Indices
, 2005 In this paper we present an explicit construction of Belyi functions whose dessins are flower trees (i.e., graphs of diameter 4) with two ramification indices.
Komatsu, Toru
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Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers
, 2013 A survey is given on mathematical structures which emerge in multi-loop Feynman diagrams. These are multiply nested sums, and, associated to them by an inverse Mellin transform, specific iterated integrals.
Schneider, C +3 more
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Explicit Reciprocity Laws In Algebraic Function Fields (cyclotomic, Kummer).
, 1987 Let IF(,q) denote the finite field with q elements where q = p('r) is a power of an odd prime p, IF(,q) x the polynomial ring in one indeter- minate x with coefficients in IF(,q), and IF(,q)(x) the field of rational functions in one indeterminate x with
Schultheis, Fred Bentley
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, 2004 We give an elementary, self-contained and quick proof of Belyi's theorem. As a by-product of our proof we obtain an explicit bound for the degree of the defining number field of a Belyi ...
Koeck, Bernhard
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Cyclotomic Function Fields with Ideal Class Number One
, 2001 We list all imaginary cyclotomic extensions Fq(x,ΛM(x))/Fq(x) with ideal class number equal to one. Apart from the zero genus ones, there are 17 solutions up to Fq(x)-isomorphism: 13 of them are defined over F3 and the 4 remainings are defined over ...
Sémirat, Stéphan
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An Euler system for GU(2, 1). [PDF]
Math Ann, 2022 Loeffler D, Skinner C, Zerbes SL.
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Cyclotomic fields of class numbers one and two
, 1978 We find all fields of type Q(exp 2πi/m) with class number hm equal to one or two. We derive various class number formulas and properties associated with these formulas and use these in determining class numbers of cyclotomic fields.
Acreman, Dennis
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