Invariants dans le complété de la clôture algébrique d'un corps local
Irregularity and -adic Swan conductor. (Irrégularité et conducteur de Swan -adiques.)
Isomorphisms of p-adic Group Rings.
Iwasawa Invariants.
Iwasawa Invariants of Abelian Number Fields.
Iwasawa theory and explicit reciprocity law. A remake of an article of P. Colmez. (Théorie d'Iwasawa et loi explicite de réciprocité. Un remake d'un article de P. Colmez.)
Iwasawa-theory of abelian varieties at primes of non-ordinary reduction.
Jacobi sums and explicit reciprocity laws
Ještě o kvadratických polynomech nabývajících mnoha prvočíselných hodnot
K2 of p-Adic Group Rings of Abelian p-Groups.
K2-analogs of Hasse's norm theorems.
Kida's formula and congruences.
Kloosterman sums for prime powers in P-adic fields
Let be a field of degree over , the field of rational -adic numbers, say with residue degree , ramification index and differential exponent . Let be the ring of integers of and its unique prime ideal. The trace and norm maps for are denoted and , respectively. Fix , a power of a prime , and let be a numerical character defined modulo and of order . The character extends to the ring of -adic integers in the natural way; namely , where denotes the residue class...
Kommutatoren und 2-Cohomologie p-adischer Quaternionenschiefkörper.
Konstruktion von Zahl- und Funktionenkörpern mit vorgegebener Galoisgruppe.
Kummer congruences for expressions involving generalized Bernoulli polynomials
We illustrate how a particular expression, involving the generalized Bernoulli polynomials, satisfies systems of congruence relations if and only if a similar expression, involving the generalized Bernoulli numbers, satisfies the same congruence relations. These congruence relations include the Kummer congruences, and recent extensions of the Kummer congruences provided by Gunaratne.
Kummer congruences for values of Bernoulli and Euler polynomials
Kummer's calculation of Lp (1,...).
La conjecture de Birch et Swinnerton-Dyer -adique
La conjecture de Birch et Swinnerton-Dyer prédit que l’ordre du zéro en de la fonction d’une courbe elliptique définie sur est égal au rang du groupe de ses points rationnels. On sait démontrer cette conjecture si ou , mais on n’a aucun résultat reliant et si . Nous expliquerons comment Kato démontre que la fonction -adique attachée à a, en , un...
La conjecture de la couronne en analyse complexe et p-adique