Proof of a conjecture of S. Chowla
نویسندگان
چکیده
منابع مشابه
Verification of the Ankeny – Artin – Chowla Conjecture
Let p be a prime congruent to 1 modulo 4, and let t, u be rational integers such that (t + u √ p )/2 is the fundamental unit of the real quadratic field Q(√p ). The Ankeny-Artin-Chowla conjecture (AAC conjecture) asserts that p will not divide u. This is equivalent to the assertion that p will not divide B(p−1)/2, where Bn denotes the nth Bernoulli number. Although first published in 1952, this...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1975
ISSN: 0022-314X
DOI: 10.1016/0022-314x(75)90026-8