Displaying similar documents to “ p -adic Clifford algebras”

Normal bases for the space of continuous functions defined on a subset of Z.

Ann Verdoodt (1994)

Publicacions Matemàtiques

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Let K be a non-archimedean valued field which contains Q and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. V is the closure of the set {aq|n = 0,1,2,...} where a and q are two units of Z, q not a root of unity. C(V → K) is the Banach space of continuous functions from V to K, equipped with the supremum norm. Our aim is to find normal bases (r(x)) for C(V → K), where r(x) does not have to be a polynomial.

On the generalized Bernoulli numbers that belong to unequal characters.

Ilya Sh. Slavutskii (2000)

Revista Matemática Iberoamericana

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The study of class number invariants of absolute abelian fields, the investigation of congruences for special values of L-functions, Fourier coefficients of half-integral weight modular forms, Rubin's congruences involving the special values of L-functions of elliptic curves with complex multiplication, and many other problems require congruence properties of the generalized Bernoulli numbers (see [16]-[18], [12], [29], [3], etc.). The first steps in this direction can be found in the...