Ideal class groups of cyclotomic number fields II
Ideal class groups of cyclotomic number fields III
Ideal-theoretic characterization of the relative genus field.
Inclusion of CM-fields and divisibility ofrelative class numbers
Infinite 2-class field towers of some imaginary quadratic number fields
Infinite class field towers of quadratic fields.
Infinite Hilbert 2-class field tower of quadratic number fields
Integer Valued polynomials over a number field.
Interpolation of hypergeometric ratios in a global field of positive characteristic
For each global field of positive characteristic we exhibit many examples of two-variable algebraic functions possessing properties consistent with a conjectural refinement of the Stark conjecture in the function field case recently proposed by the author. All the examples are Coleman units. We obtain our results by studying rank one shtukas in which both zero and pole are generic, i. e., shtukas not associated to any Drinfeld module.
Invariants of the ideal class group and the Hasse norm theorem.
Iterated Ring Class Fields and the 168-Tesselation.
Iterated Ring Class Fields and the Icosahedron.