Towards Ankeny-Artin-Chowla type congruence modulo p^3
Abstract
We formulate and generalize the technique of Jakubec established to derive congruences of Ankeny-Artin-Chowla type for a cyclic subfleld K of prime conductor p. Then we concentrate on the case of congruences modulo p3 and clear a significant technical hurdle which allows us to formulate Ankeny-Artin-Chowla congruences modulo p3 in a concise way.
Keywords
Ankeny-Artin-Chowla congruence; class number; divisibility; units
References
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Pennsylvania State University, USA United States
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