O kvadratických polynomech, které nabývají mnoha prvočíselných hodnot
Okutsu invariants and Newton polygons
On 2-Adic L-Functions and Cyclotomic Invariants.
On 2-extensions of the rationals with restricted ramification
For a finite group G let 𝒦₂(G) denote the set of normal number fields (within ℂ) with Galois group G which are 2-ramified, that is, unramified outside {2,∞}. We describe the 2-groups G for which 𝒦₂(G) ≠ ∅, and determine the fields in 𝒦₂(G) for certain distinguished 2-groups G appearing (dihedral, semidihedral, modular and semimodular groups). Our approach is based on Fröhlich's theory of central field extensions, and makes use of ring class field constructions (complex multiplication).
On a class of equations with special degrees over finite fields
On a dynamical Brauer–Manin obstruction
Let be a morphism of a variety defined over a number field , let be a -subvariety, and let be the orbit of a point . We describe a local-global principle for the intersection . This principle may be viewed as a dynamical analog of the Brauer–Manin obstruction. We show that the rational points of are Brauer–Manin unobstructed for power maps on in two cases: (1) is a translate of a torus. (2) is a line and has a preperiodic coordinate. A key tool in the proofs is the classical...
On a trivial zero problem.
On ...-Adic Representations Attached to Modular Forms.
On automorphism groups of -adic Schottky curves
On Bernoulli and Euler Numbers.
On Bernoulli identities and applications.
Bernoulli numbers appear as special values of zeta functions at integers and identities relating the Bernoulli numbers follow as a consequence of properties of the corresponding zeta functions. The most famous example is that of the special values of the Riemann zeta function and the Bernoulli identities due to Euler. In this paper we introduce a general principle for producing Bernoulli identities and apply it to zeta functions considered by Shintani, Zagier and Eie. Our results include some of...
On canonical and quasi-canonical liftings.
On Carlitz's type -Euler numbers associated with the fermionic -adic integral on .
On certain algebraic groups attached to local number-fields.
On character sums of rational functions over local fields
On Chinburg's second conjecture for abelian fields.
On commuting properties of endomorphisms of formal A-modules over finite fields
On counterexamples to local-global divisibility in commutative algebraic groups
On cycles and orbits of polynomial mappings
On explicit reciprocity law over formal groups.