Sur le developpement de\sqrt m en fraction continue p-adiqueen fraction continue p-adique

This note deals with the Mahler-Browkin p-adic continued fractions. The principal result is the following: For any prime p>2 and for any d ∈ ℕ, d odd, there are only finitely many m ∈ ℤ such that the p-adic continued fraction expansion of ∈ ℚ_p is periodic with period of length d.      

Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique

Let F be a finite extension of ℚ _p . For each integer n≥1, we construct a bijection from the set ?_F ⁰ (n) of isomorphism classes of irreducible degree n representations of the (absolute) Weil group of F, onto the set ? _F ⁰ (n) of isomorphism classes of smooth irreducible supercuspidal representations of GL _n (F). Those bijections preserve epsilon factors for pairs and hence we obtain a proof of the Langlands conjectures for GL _n over F, which is more direct than Harris and Taylor’s. Our approach is global, and analogous to the derivation of local class field theory from global class field theory. We start with a result of Kottwitz and Clozel on the good reduction of some Shimura varieties and we use a trick of Harris, who constructs non-Galois automorphic induction in certain cases. Oblatum 1-III-1999 & 21-VII-1999 / Published online: 29 November 1999     

The nevanlinna factorization in certain classes of analytic functions

It is announced that in the classes H _n ^p , 0 pz+, 0 <l/.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 126, pp. 205–207, 1983.     

Theorie der Parallelen

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Zur Theorie derM-Gruppen

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Theorie der Gewebe

Ohne ZusammenfassungHerrn Geheimrat Professor Dr. Robert Haußner zu seinem goldenen Doktorjubiläum am 29. Oktober 1938.     

Theorie der Polygonalreste

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Theorie der Netze

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Anwendungen der Theorie des Zusammenhanges in Reihen auf die Theorie der Substitutionengruppen

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Galoissche Theorie und Darstellungstheorie

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