A remark on a paper written by J. M. De Koninck and A. Ivić.
A remark on a previous paper by Bredihin and Linnik
A remark on a theorem of L. Carlitz
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 Artin's conjecture.
A remark on Ax's theorem on solvability modulo primes.
A remark on B₂-sequences in GF[p,x]
A remark on certain Hecke L-series which are non-negative on the real axis
A remark on certain simultaneous divisibility sequences
We investigate possible orders of reductions of a point in the Mordell-Weil groups of certain abelian varieties and in direct products of the multiplicative group of a number field. We express the result obtained in terms of divisibility sequences.
A remark on Chen's theorem
A remark on Construire un noyau de la fonctorialité by Lafforgue
Lafforgue has proposed a new approach to the principle of functoriality in a test case, namely, the case of automorphic induction from an idele class character of a quadratic extension. For technical reasons, he considers only the case of function fields and assumes the data is unramified. In this paper, we show that his method applies without these restrictions. The ground field is a number field or a function field and the data may be ramified.
A remark on Hilbert's Theorem 92
A Remark on Kitaoka formal power series attached to local densities.
A remark on my paper "On the Saito-Kurokawa lifting".
A remark on number-theoretical functions
A remark on prime divisors of lengths of sides of Heron triangles.
A remark on primitive roots and ramitfication
A remark on product of Dirichlet L-functions
While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.
A Remark on Quadratic Spaces over Noncommutative Semilocal Rings.
A remark on real radical extensions