On Hirzebruch sums and a theorem of Schinzel
On Iwasawa’s λ-invariant for certain -extensions
On Jacobi sums in ℚ(ζₚ)
On Jannsen's conjecture for Hecke characters of imaginary quadratic fields.
We present a collection of results on a conjecture of Jannsen about the p-adic realizations associated to Hecke characters over an imaginary quadratic field K of class number 1.The conjecture is easy to check for Galois groups purely of local type (Section 1). In Section 2 we define the p-adic realizations associated to Hecke characters over K. We prove the conjecture under a geometric regularity condition for the imaginary quadratic field K at p, which is related to the property that a global Galois...
On knots in algebraic number theory.
On L-functions of elliptic curves and anticyclotomic towers.
On L-functions of elliptic curves and cyclotomic towers.
On non-commutative twisting in étale and motivic cohomology
This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups , where is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to . Using the “Bloch-Kato-conjecture” a similar result is proven for motivic cohomology with finite coefficients.
On octic fields of exponent 2.
On -adic -functions
On -adic -functions and the Riemann-Hurwitz genus formula
On p-adic L-functions and normal bases of rings of integers.
On p-adic L-functions and the Riemann-Hurwitz genus formula
On Ray Class Annihilators of Cyclotomic Fields.
On representations of numbers by sums of squares and quadratic fields
On the -class group of some number fields with large degree
Let be an odd square-free integer, any integer and . In this paper, we shall determine all the fields having an odd class number. Furthermore, using the cyclotomic -extensions of some number fields, we compute the rank of the -class group of whenever the prime divisors of are congruent to or .
On the anticyclotomic main conjecture for CM fields.
On the arithmetic of quaternion algebras
On the center of Galois groups of maximal pro-p extensions of algebraic number fields with restricted ramification.
On the class number Q(√-p) modulo 16, for p ≡ 1 (mod 8) a prime