[PDF] Top 20 On the 16-rank of class groups of quadratic number fields
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On the 16-rank of class groups of quadratic number fields
... Ces résultats de densité sont intéressants pour plusieurs raisons. D'abord, ils sont les premiers résultats non triviaux de densité sur le 16 -rang des groupes des classes dans une famille de corps de nombres ... See full document
114
p Tower Groups over Quadratic Imaginary Number Fields
... of class field towers relates to the question of whether a given number field admits an extension with certain restrictions on its class ...a number field can be embedded in an extension with ... See full document
10
Deep Transfers of p Class Tower Groups
... -Class Groups, p -Principalization, Quadratic Fields, Dihedral Fields of Degree 2 p ; Finite p -Groups, Two-Step Centralizers, Polarization Principle, Descendant Trees, p -Group ... See full document
15
Heuristics on class groups
... (C) For real quadratic fields <ü(Jp) with p a l mod 4 prime, it is conjectured than an infinite number of them have class number l, and in fact experimental evidence seems to ahow th[r] ... See full document
11
On the real quadratic fields with certain continued fraction expansions and fundamental units
... real quadratic fields with large fundamental units by constructing a infinite ...real quadratic fields of minimal type in ...real quadratic number fields and get certain ... See full document
12
p Capitulation over Number Fields with p Class Rank Two
... Remark 3.4. In 2012, Bembom investigated the 5-capitulation over complex quadratic fields K with 5-class group of type (5, 5) ([15] p. 129). However, his techniques were only able to distinguish ... See full document
14
Index p Abelianization Data of p Class Tower Groups
... complex quadratic fields in [6] to arbitrary base fields K and yield the first examples of real quadratic fields having a p -class tower of exact length ...against ... See full document
28
Periodic Sequences of p Class Tower Groups
... of quadratic number fields K with 3-class group Cl ( ) 3 K of type (3,3) , originally investigated by ourselves in [16]-[18], and extended by Boston, Bush and Hajir in ...tower ... See full document
11
Universal adelic groups for imaginary quadratic number fields and elliptic curves
... the number of different isomorphism types of point groups E(Q) is ...the number of distinct isomorphism classes of torsion subgroups of E(Q) is known to be only 15 by a celebrated theorem of Mazur, ... See full document
114
Effective bounds for Brauer groups of Kummer surfaces over number fields
... Proof. We apply [Mum70, p. 201 Thm. 2 and p.208] (and the remark on p. 203 referring to the work of Shimura) to obtain the list of the rank r. When A is geometrically simple, we can only have A of type I, II, and ... See full document
38
Class Number Formula for Certain Imaginary Quadratic Fields
... In this section we shall just supplement to [16] which contains many useful identities for short interval character sums in terms of the values of the L-function, by restricting those involving class ... See full document
6
On elliptic curves of prime power conductor over imaginary quadratic fields with class number one
... The fifth section studies curves of odd conductor over K with a rational 2-torsion point. An important result is Theorem 5.4, where a description of all such curves (up to twist) is given. This result is very general, ... See full document
34
The Influence of type of Functional Groups on the Adsorption Selectivity of Ionic Imprinted Polymer (Iip) Fe
... In Fig.3 it appears that the -OH polieugenol spectrum decreases in intensity when attached to Fe-EDMA, this intensity then rises again after the PE-Fe-EDMA polymer is released Fe-containing iron ions to produce IIP. The ... See full document
6
The Rabinowitsch Mollin Williams Theorem Revisited
... with class number 1, for which there exist exactly 14 Rabinowitsch polynomials, based upon the recent solution of the Chowla, Mollin, and Yokoi conjectures in Lemmas ... See full document
14
An Algorithm for Explicit Form of Fundamental Units of Certain Real Quadratic Fields and Period Eight
... real quadratic number ...such quadratic fields is first in the literature and it gives us a more practical way to calculate the fundamental ...the quadratic irrational number of ... See full document
14
On Fermat’s equation over some quadratic imaginary number fields
... The reader might now legitimately ask themselves why we were only able to derive this corollary for the case K = Q (i) and we will try to explain this now. In fact, our techniques prove the result claimed in Theorem 1.1 ... See full document
16
A criterion to rule out torsion groups for elliptic curves over number fields
... cubic and a quartic field, respectively. In Sections 5 and 6, we use Corollary 3, together with other techniques, to prove that a large number of finite groups do not occur as torsion groups of ... See full document
13
Ecologically Safe Directions of the Low Rank Coal Bioconversion | Journal of Engineering Sciences
... In study [20], low-rank lignite coal sample collected from Jining coalfield of Shandong province in China was subjected to desulphurization by using a new bacteria and Acidithiobacillus ferrooxidans isolated from ... See full document
10
16. A quadratic type functional equation
... the quadratic functional ...is quadratic if and only if there exists a unique symmetric bi-additive function 𝐵 such that 𝑓 (𝑥) = 𝐵(𝑥, 𝑥) for all 𝑥 ∈ 𝒳 ; see ... See full document
7
Groups and fields in arithmetic
... transcendence basis of L/K. If S is a transcendence basis, then L/K(S) is algebraic. Note that any algebraically independent set can be extended to a transcendental basis. We define the transcendence degree of L/K , ... See full document
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