On a conjecture of D. H. Lehmer
On a Conjecture of Gross on Special Values of L-functions.
On a Conjecture of Hecke Concerning Elementary Class Number Formulas.
On a conjecture of Morgan Ward, III
On a construction on p-units in abelian fields.
On a cyclotomic diophantine equation.
On a Diophantine inequality for forms of additive type
On a direct sum decomposition of the Dem'yanenko matrix
On a Fermat Equation Arising in the Arithmetic Theory of Function Fields.
On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.
On a generalization of Tate dualities with application to Iwasawa theory
On a generalization of the Lucas functions
On a generalization of the Maillet determinant II
On a hypothesis implying the non-vanishing of Dirichlet's L-series L(s, x) for s ... 0 and real odd characters x.
On a noncommutative Iwasawa main conjecture for varieties over finite fields
We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for -adic Lie extensions of a separated scheme of finite type over a finite field of characteristic prime to .
On a notion of “Galois closure” for extensions of rings
We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an degree extension of fields. Moreover, we prove a number of properties of this construction; for example, we show that it is functorial and respects base change. We also investigate the behavior of this Galois closure construction for various natural classes of ring extensions.
On a polynomial conjecture of Pál Turán
On a positivity property of the Riemann ξ-function
On a problem of Dvornicich and Zannier
On a problem of Eisenstein