Class Field Theory在本碩士論文中,我們首先介紹一些已經知道的結果.接著定義一個pairing並且利用之前介紹的結果去討論pairing的性質.最後利用這個pairing直接討論class field theory for Kummer extensions 而不套用古典的local class field theory.莊子平臺灣師範大學臺灣師範大學數學系學位論文...
Explicit class field theory for global function fieldsExplicit class field theoryDrinfeld modulesLet F be a global function field and let Fab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ:Gal(Fab/F)→CF, where CF is the ...
For an elliptic curve $E: y^{2} = 4(x^{3} + A x +B)$ over a field of characteristic $eq 2$, we explicitly compute the pullback to the formal completion of $E$ at the origin of some important objects on $E$ including the functions $x$, $y$ and the invariant differential ...
These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points on curves and higher-dimensional varieties, and aspects of lattice basis reduction...
Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations Results Math., 73 (2018), pp. 1-16, 10.1007/s00025-018-0872-z Google Scholar [42] Cădariu L., Găvruta L., Găvruta P. Weighted space method for the stability of some nonlinear equations Appl. An...
Leitmann (Ref. 1) introduced coordinate transformations to derive global optima of a class of dynamic optimization problems. We present applications of thi... EJ Dockner,G Leitmann - 《Journal of Optimization Theory & Applications》 被引量: 42发表: 2001年 Quasi-equilibrium in LQ differential ga...
A new class of models of dynamical supersymmetry breaking is proposed. The models are based on S U ( N C ) gauge theories with N F ( < N C ) flavors of q... KI Izawa,T Yanagida - 《Phys.rev.d》 被引量: 206发表: 2009年 Dynamical Supersymmetry Breaking Supersymmetry is one of th...
(red) between the ground truth density functional theory (DFT) value (EDFT) and MLP predicted values (EMLP) exceeds the threshold (ET).similarityselector: collects configurations with dissimilar geometry to the original data set, i.e., configurations with the maximum of the similarity vectorK...
The layering critical points are in the universality class of the two-dimensional Ising model.doi:10.1103/PhysRevB.30.1371David A. HusePhys.rev.bD. A. Huse. Renormalization-Group Analysis of Layering Transitions in Solid Films. Phys... DA Huse - 《Phys.rev.b》 被引量: 151发表: 1984年 Th...
SplitsTree provides a framework for the calculation of phylogenetic trees and networks. It contains a wide variety of methods for the import/export, calculation and visualization of phylogenetic information. The software is developed in Java and implemen