Real number field

The dissertation's research content presents the provisions of law and some legislative achievements in the field of real estate mortgage; identify some limitations and shortcomings of the current law on real estate mortgage; practical application and recommendations to improve Vietnamese law on real estate mortgage; a number of recommendations to improve the law of Vietnam on real estate mortgage.

27p caygaocaolon10 19-02-2021 33 4   Download

Elliptic units, which are obtained by evaluating modular units at quadratic imaginary arguments of the Poincar´e upper half-plane, provide us with a rich source of arithmetic questions and insights. They allow the analytic construction of abelian extensions of imaginary quadratic fields, encode special values of zeta functions through the Kronecker limit formula, and are a prototype for Stark’s conjectural construction of units in abelian extensions of number fields.

47p noel_noel 17-01-2013 49 8   Download

Let p be a prime number, F a totally real field such that [F (µp ) : F ] = 2 and [F : Q] is odd. For δ ∈ F × , let [ δ ] denote its class in F × /F ×p . In this paper, we show Main Theorem. There are infinitely many classes [ δ ] ∈ F × /F ×p such that the twisted affine Fermat curves Wδ : have no F -rational points. Remark. It is clear that if [ δ ] = [ δ ], then Wδ is isomorphic to Wδ over F . For any δ ∈ F × , Wδ /F has rational points locally everywhere.

25p noel_noel 17-01-2013 45 6   Download

We give a new construction of the moonshine module vertex operator algebra V , which was originally constructed in [FLM2]. We construct it as a framed VOA over the real number field R. We also offer ways to transform a structure of framed VOA into another framed VOA. As applications, we study the five framed VOA structures on VE8 and construct many framed VOAs including V from a small VOA. One of the advantages of our construction is that we are able to construct V as a framed VOA with a positive definite invariant bilinear form and we...

63p tuanloccuoi 04-01-2013 49 7   Download