MATCHING DENSITIES FOR GALOIS REPRESENTATIONS

作者：Walji Nahid^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144(8): 3309-3316.

DOI：10.1090/proc/12996

Given a pair of n-dimensional complex Galois representations over Q, we define their matching density to be the density, if it exists, of the set of places at which the traces of Frobenius of the two Galois representations are equal. We will show that the set of matching densities of such pairs of irreducible Galois representations (for all n) is dense in the interval [0, 1]. We then discuss the automorphic analogue of this problem.

• 出版日期2016-8