Abstract
We investigate the explicit Galois structure of ray class groups. We then derive consequences of our results concerning both the validity of Leopoldt’s Conjecture and the existence of families of explicit congruence relations between the values of Dirichlet $L$-series at $s=1$.
Citation
David BURNS. Asuka KUMON. "On the Galois structure of arithmetic cohomology II: ray class groups." J. Math. Soc. Japan 70 (2) 481 - 517, April, 2018. https://doi.org/10.2969/jmsj/07027321
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