On the center of Galois groups of maximal pro-p extensions of algebraic number fields with restricted ramification.
On the central coefficients of Bell matrices.
On the central limit theorem for random variables related to the continued fraction expansion
On the changes of sign of a certain class of error functions
On the characteristic power series of the U operator
We show that the coefficients of the characteristic power series of Atkin’s U operator acting on overconvergent -adic modular forms of weight vary -adically continuously as functions of . Are they in fact Iwasawa functions of ?
On the Chow groups of quadratic Grassmannians.
On the circle problem with general weight
On the circle problem with polynomial weight
On the class number of binary quadratic forms: An omega estimate for the error term.
On the class number of relative abelian fields.
On the class number of some real abelian number fields of prime conductors
On the class number of the maximal real subfields of a family of cyclotomic fields
For any square-free positive integer with , we prove that the class number of the real cyclotomic field is greater than , where is a primitive th root of unity.
On the class number Q(√-p) modulo 16, for p ≡ 1 (mod 8) a prime
On the class numbers of certain Hilbert class fields.
On the class numbers of certain quadratic extensions
On the class numbers of cyclotomic fields.
On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime
On the class numbers of real cyclotomic fields of conductor pq
The class numbers h⁺ of the real cyclotomic fields are very hard to compute. Methods based on discriminant bounds become useless as the conductor of the field grows, and methods employing Leopoldt's decomposition of the class number become hard to use when the field extension is not cyclic of prime power. This is why other methods have been developed, which approach the problem from different angles. In this paper we extend one of these methods that was designed for real cyclotomic fields of prime...
On the class of all reciprocal bases for integers.
On the classgroups of imaginary abelian fields
Let be an odd prime, an odd, -adic Dirichlet character and the cyclic imaginary extension of associated to . We define a “-part” of the Sylow -subgroup of the class group of and prove a result relating its -divisibility to that of the generalized Bernoulli number . This uses the results of Mazur and Wiles in Iwasawa theory over . The more difficult case, in which divides the order of is our chief concern. In this case the result is new and confirms an earlier conjecture of G....