Minimal generators of the ideal class group

DOI10.1016/j.jnt.2020.12.001zbMath1465.11216OpenAlexW3122684212MaRDI QIDQ1998892

Henry H. Kim

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.12.001

zbMATH Keywords

class number\(L\)-functionsclass group

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (1)

Corrigendum to: ``Minimal generators of the ideal class group

Cites Work

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• Probabilistic properties of number fields
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• Primes of degree one and algebraic cases of Čebotarev's theorem
• Real quadratic fields with large class number
• Cubic fields whose class numbers are not divisible by 3
• Automorphic forms on \(GL(3)\). I, II
• On \(\ell\)-torsion in class groups of number fields
• Zeros of families of automorphic \(L\)-functions close to 1.
• Central limit theorem for Artin L-functions
• Non-abelian number fields with very large class numbers
• Explicit Bounds for Primality Testing and Related Problems
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Explicit bounds for generators of the class group
• Logarithmic derivatives of Artin -functions
• Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
• On the density of discriminants of cubic fields. II

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