A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis

DOI10.2307/2047311zbMath0649.12005OpenAlexW4248637304MaRDI QIDQ3794278

Hugh C. Williams, Richard A. Mollin

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047311

zbMATH Keywords

generalized Riemann hypothesisreal quadratic fieldcomputer methodChowla's conjectureclass number 1sieve process

Mathematics Subject Classification ID

Quadratic extensions (11R11) Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29)

Related Items (12)

Class number one problem for real quadratic fields. (The conjecture of Gauss) ⋮ On S. Chowla's conjecture ⋮ A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE ⋮ Period four and real quadratic fields of class number one ⋮ On a determination of real quadratic fields of class number one and related continued fraction period length less than 25 ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields ⋮ On the structure of order 4 class groups of \(\mathbb{Q}(\sqrt{n^2+1})\) ⋮ Class number one criteria for real quadratic fields. I ⋮ Lower Bounds for Class Numbers of Real Quadratic and Biquadratic Fields ⋮ Some results connected with the class number problem in real quadratic fields ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases) ⋮ Lower bound for class numbers of certain real quadratic fields

Cites Work

• Class numbers of cyclotomic fields
• Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla
• Class numbers and quadratic residues

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