A result for some totally real fields
A Gross-Zagier formula for quaternion algebras over totally real fields
... REAL FIELDS EYAL ...Their result is proved by giving a counting formula for the number of isomorphisms between elliptic curves with complex multiplication by two different imaginary quadratic ...
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The generalized Fermat equation over totally real number fields
... 6.7 Real quadratic number fields We related non-trivial solutions to the generalized Fermat equation over totally real fields to an S-unit ...of real quadratic number ...
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Computing p-adic L-functions of totally real number fields
... 1. Introduction The aim of this article is to present a general method for computing values and represen- tations of p-adic L-functions of totally real number fields. These functions are the p-adic ...
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On Serre's uniformity conjecture for semistable elliptic curves over totally real fields
... 5. Proof of Theorem 2 Assume the hypotheses of Theorem 2: in particular, let E be an elliptic curve semistable outside S. With the help of Theorem 3, we know that there is an effectively computable constant C K,S such ...
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Units in families of totally complex algebraic number fields
... µ F is called the torsion subgroup of Z × F . Thus, there exist units 1 , . . . , r such that every element of Z × F can be written in a unique way as ζ n 1 1 ··· n r r , where n i ∈ Z and ζ is a root of unity in F . ...
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The symmetric structure of the plus/minus Selmer groups of elliptic curves over totally real fields and the parity conjecture
... a totally imaginary quadratic extension of F such that every prime of F lying above p is unramified over K / F and every prime divisor of N and Q split completely over K / F ...
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The 2-rank of the class group of some real cyclic quartic number fields
... of some imaginary cyclic quartic number field K having a quadratic subfield k with odd class ...a totally imaginary quartic cyclic extension of a totally real quadratic subfield ...
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On Some Computational Problems in Local Fields
... Proof. For any v ∈ L , we have | t − v | p = max( | t | p , | v | p ). If | v | p ≤ λ j 0 +1 , then | t − v | p = | t | p . If | v | p ≥ λ j 0 , then | t − v | p = | v | p . The result follows. Theorem 4.4. Let L ...
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Some diagnostics for Markov random fields
... In Section 2 , we give a general result that serves as the basis of our new diagnostics for MRFs. In Section 3, we describe the CAR models, which are based on conditional (and hence joint) Gaussian assumptions. We ...
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RED FIELDS TO green fields. Parks Solve the Urban Real Estate Crisis
... Construction: High CAP Rates (Houston CoStar Statistics) • Cap rates may be thought of as a metric for how high or low the prices of properties being sold are relative to the total income on all of their leases. Cap ...
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From real fields to complex Calogero particles
... rational real valued functions as multi-soliton solutions of nonlinear wave equations was studied more than three decades ago by various authors, see ...take some of these findings as a setting for the ...
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An asymptotic result for some delay difference equations with continuous variable
... asymptotic result for the solutions. Our result is obtained by the use of a positive root with an appropriate property of the so-called characteristic equation of the corresponding homogeneous linear ...
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Value groups and residue fields of models of real exponentiation
... of real closed fields and divisible ordered abelian groups which are η α –sets together with the characterisation of ℵ α ...theoretic result that, under our given conditions on κ, for any complete ...
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Real-time rendering and acquisition of spherical light fields
... on some knowledge about the scene geometry, extra effort is to be spent on the acquisition of geometric details which reduces the benefit of easy to use light field ...
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Affine Nash groups over real closed fields
... a real closed field R is Nash isogenous to the semialgebraically connected component of the group H(R) of R-points of some algebraic group H defined over ...this result was claimed in [5], but a ...
Totally magic cordial labeling of some graphs
... of totally magic cordial (TMC) labeling is due to Cahit [2] as a modification of edge-magic total labeling and cordial ...have totally magic cordial labeling with constant C if there exists a mapping f : V ...
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Totally real submanifolds of a complex space form
... In particular Chen, Houh and Lue 1] pointed out that it is interesting to study totally real submanifolds of the complex number space U with parallel isoperimetric section and they class[r] ...
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A THEOREM ON C-TOTALLY REAL MINIMAL SURFACE
... is flat. 2. Preliminaries. Let A/1 be a Riemannian manifold of dimension n + p and M an n-dimensional submanifold of M. Let < , > be the metric tensor field on M as well as the metric induced on M. We denote by V ...
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Totally lightweight, totally flexible, totally titanium.
... Preferably titanium! The light weight, high user convenience, special thermal neutrality and skin kindness of the material as well as the smooth, edge-free, absolutely skid-proof and therefore hygienic shape of the T1 ...
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Totally lightweight, totally flexible, totally titanium.
... The large diversity of straight and contra-angle handpieces – including models with an extra small head in the standard range – covers the complete spectrum of dental applications and fa[r] ...
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