CONDENSATION SEQUENCE? C. Vollmer, P. Hoppe, F. E. Brenker and H. Palme, Max-Planck-Institute for Chemistry, Particle Chemistry Department, P.O. Box 3060, 55020 Mainz, Germany ([email protected]), JWG – University, Institute for Mineralogy, Senckenberganlage 28, 60054 Frankfurt/Main, Germany, University of Cologne, Institute for Geology&Mineralogy, Zülpicher Str. 49b, 50674 Cologne, Ger...

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...

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...