article08_4. 412KB Jun 04 2011 12:06:53 AM
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In this paper, we prove a derivative formula (Theorem 4.1) of the Coleman map for elliptic curves by purely local and elementary method and we apply this formula to Kato’s element
Note that since the set A introduced in the proof of Theorem 25 contains many elements other than the primes, even if either the weak or the strong Goldbach conjectures fail to hold,
The deepest input will be Lemma 2.1 be- low which only requires pre-Prime Number Theorem elementary methods for its proof (in Tenenbaum’s [11] introductory book on analytic
5.1. Preliminaries on twisted forms. We saw in the previous section that every quadric surface V q is an element of T.. Let X/k be a quadric surface.. The proof of Theorem 7b). First
Alternatively, we can prove a result along the lines of Theorem 3.1 using results on integral points of bounded degree on curves.. Here φ is Euler’s
(Indeed, if the residue class field k has characteristic 0, and hence K ′ /K can only be tamely ramified, the proof of Theorem 2.2 is relatively easy.) Recent work of Lehr and
In this section, we prove results concerning local (i.e., restricted to proper subspaces) vs global linear dependence of operators that will be used in the proof of Theorem 1.5, and
In this paper, we give another proof of this theorem making use of a general result (Theorem 3.5) according to which the inverse of an n × n interval matrix can be computed from
