LOCAL CORRECTIONS OF DISCRIMINANT BOUNDS AND SMALL DEGREE EXTENSIONS OF QUADRATIC BASE FIELDS

DOI10.1142/S1793042108001389zbMath1159.11040OpenAlexW2120577543MaRDI QIDQ3602982

Darrin Doud, Sharon A. Brueggeman

Publication date: 12 February 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042108001389

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (9)

One-class genera of maximal integral quadratic forms ⋮ Counting and effective rigidity in algebra and geometry ⋮ Ternary quadratic forms over number fields with small class number ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ The largest gap between zeros of entire \(L\)-functions is less than 41.54 ⋮ Bounds for arithmetic hyperbolic reflection groups in dimension 2 ⋮ Families of mutually isospectral Riemannian orbifolds ⋮ Wild ramification bounds and simple group Galois extensions ramified only at $2$ ⋮ Commensurability classes of fake quadrics

Cites Work

• Unnamed Item
• Advanced Topics in Computional Number Theory
• The nonexistence of nonsolvable octic number fields ramified only at one small prime
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
• Septic number fields which are ramified only at one small prime

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