On the 4-rank of ideal class groups of quadratic function fields
On the Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the arithmetic of some division algebras.
On the coefficients of Drinfeld modular forms.
On the conjecture of Lichtenbaum and of Chinburg over function fields.
On the conjectures of Mordell and Lang in positive characteristics.
On the Construction of Galois Extensions of Function Fields and Number Fields.
On the cyclotomic elements in K₂ of a rational function field
If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.
On the de Rham isomorphism for Drinfeld modules.
On the existence of cusp forms over function fields.
On the existence of dimension zero divisors in algebraic function fields defined over
On the fundamental unit and class number of certain quadratic functin fields, I
On the Graded Ring of Hubert Modular Forms Associated with Q (|..5).
On the Holomorphy on Certain Non-Abelian L-Series.
On the ?-invariant of the ?-transform of a rational function.
On the ordinarity of the maximal real subfield of cyclotomic function fields
The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials m such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
On the relative class number of cyclotomic function fields
On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field.
On the singular Drinfeld modules of rank 2.
On the subfields of cyclotomic function fields
Let be the rational function field over a finite field of elements. For any polynomial with positive degree, denote by the torsion points of the Carlitz module for the polynomial ring . In this short paper, we will determine an explicit formula for the analytic class number for the unique subfield of the cyclotomic function field of degree over , where is an irreducible polynomial of positive degree and is a positive divisor of . A formula for the analytic class number for the...