Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

On the $ 3$-rank of quadratic fields and the Euler product


Authors: Carol Neild and Daniel Shanks
Journal: Math. Comp. 28 (1974), 279-291
MSC: Primary 12A25; Secondary 12A65
DOI: https://doi.org/10.1090/S0025-5718-1974-0352042-5
MathSciNet review: 0352042
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper covers many (closely related) topics: the distribution of the 3-Sylow subgroups of imaginary quadratic fields; the possibility of finding 3-ranks greater than 4; some questions concerning $ {a^3} = {b^2} + {c^2}D$; and the convergence of Euler products and its relation to the extended Riemann hypothesis. Two programs that were used in this investigation are described.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 12A25, 12A65

Retrieve articles in all journals with MSC: 12A25, 12A65


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1974-0352042-5
Article copyright: © Copyright 1974 American Mathematical Society