Results 81 to 90 of about 1,812,540 (189)
Cyclotomic splitting fields for group characters
, 1975 This paper is concerned with cyclotomic splitting fields for a real-valued irreducible character of a finite group. The fields considered are of the form Q ( ϵ m ) Q(
Mark Benard
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Ideal lattices in cyclotomic fields
, 2014 We study lattices arising from ideals in cyclotomic fields. We begin with some general theory about lattices. We introduce certain important lattices, namely the root lattices and the Niemeier lattices.
Lemire Paquin, Alexandre
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Bases for cyclotomic units over function fields
, 2001 We find a basis for the universal punctured even distribution and then a basis for the cyclotomic units over function ...
Jung, H, Bae, Sung-Han
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Explicit factorizations of cyclotomic polynomials over finite fields
, 2017 Let q be a prime power and let be a finite field with q elements. This paper discusses the explicit factorizations of cyclotomic polynomials over . Previously, it has been shown that to obtain the factorizations of the th cyclotomic polynomials, one only
Wu, Hongfeng +3 more
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Upper bounds on relative class numbers of cyclotomic fields
, 2014 International audienceWe explain how one can use the explicit formulas for the mean square values of L-functions which we established elsewhere to obtain explcit upper bounds on relative class numbers of cyclotomic number fields.
Louboutin, Stéphane, S. Louboutin
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Birational Anabelian Grothendieck Conjecture for Curves over Arbitrary Cyclotomic Extension Fields of Number Fields [PDF]
, 2022 In anabelian geometry, various strong/desired form of Grothendieck Conjecture-type results for hyperbolic curves over relatively small arithmetic fields --for instance, finite fields, number fields, or p-adic local fields-- have been obtained by many ...
TSUJIMURA, Shota
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Cyclotomic fields are generated by cyclotomic Hecke {\it L}-values of totally real fields, II [PDF]
Jun-Lee-Sun posed the question of whether the cyclotomic Hecke field can be generated by a single critical $L$-value of a cyclotomic Hecke character over a totally real field.
Sun, Hae-Sang, kwon, Jaesung
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Linear Codes from Two Weakly Regular Plateaued Balanced Functions. [PDF]
Entropy (Basel), 2023 Yang S, Zhang T, Li P.
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On a Special Metric in Cyclotomic Fields
Let $p$ be an odd prime, and let $ω$ be a primitive $p$th root of unity. In this paper, we introduce a metric on the cyclotomic field $K=\mathbb{Q}(ω)$. We prove that this metric has several remarkable properties, such as invariance under the action of the Galois group.
Saettone, Katerina +2 more
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On the exponents of ideal class groups of cyclotomic fields
, 1993 It will be proved that the ideal class group of the cyclotomic field of 65th roots of unity is of type ( 4 , 4 , 2 , 2 ) (4,4,2,2) , and remarks on the exponents of ideal class ...
Kuniaki Horie
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