A Bound for the Least Prime Ideal in the Chebotarev Density Theorem.
A comparison of Selmer groups.
A Generalization of Kummer's Criterion.
A generalization of the Chowla-Selberg formula.
A Kronecker Limit Formula for Real Quadratic Fields.
A mean value theorem for the Dedekind Zeta-Function of a quadratic number field.
A Non-Vanishing Theorem for Zeta Functions of GLn
A note on class number 1 criteria for totally real algebraic number fields
A note on Friedlander's paper "On the class numbers of certain quadratic extensions"
A note on zeta-functions of algebraic number fields
A Rankin-Selberg integral for the adjoint representation of GL3.
A remark about zeta functions of number fields of prime degree.
A remark on arithmetic equivalence and the normset
1. Introduction. Number fields with the same zeta function are said to be arithmetically equivalent. Arithmetically equivalent fields share much of the same properties; for example, they have the same degrees, discriminants, number of both real and complex valuations, and prime decomposition laws (over ℚ). They also have isomorphic unit groups and determine the same normal closure over ℚ [6]. Strangely enough, it has been shown (for example [4], or more recently [6] and [7]) that this does...
A remark on certain Hecke L-series which are non-negative on the real axis
A remark on the zeta-function of an algebraic number field.
A simplification of the formula for L(1,χ) where χ is a totally imaginary Dirichlet character of a real quadratic field
A Stark conjecture “over ” for abelian -functions with multiple zeros
Suppose is an abelian extension of number fields. Stark’s conjecture predicts, under suitable hypotheses, the existence of a global unit of such that the special values for all characters of can be expressed as simple linear combinations of the logarithms of the different absolute values of .In this paper we formulate an extension of this conjecture, to attempt to understand the values when the order of vanishing may be greater than one. This conjecture no longer predicts the existence...
A subconvexity bound for Hecke L-functions
Abelian fields and the Brumer-Stark conjecture
Abelian L-functions at s=1 and, explicit reciprocity for Rubin-Stark elements