Primes of higher degree and annihilators of class groups

DOI10.1007/s11139-023-00770-warXiv2209.00328OpenAlexW4386317045MaRDI QIDQ6144579

Prem Prakash Pandey, Mahesh Kumar Ram, Nimish Kumar Mahapatra

Publication date: 29 January 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00328

zbMATH Keywords

class groupsannihilatorsresidue degree

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Distribution of prime ideals (11R44)

Cites Work

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• Visibility of ideal classes
• On the ideal class groups of real abelian number fields
• Washington units, semispecial units, and annihilation of class groups
• Quadratic residues of certain types
• Catalan's conjecture
• The Problem of Catalan
• Computing annihilators of class groups from derivatives of $L$-functions
• Distribution of prime ideals of higher residue degree across ideal classes in the class groups
• Note on the class-number of the maximal real subfield of a cyclomatic field.
• Class numbers of real cyclotomic fields of prime conductor
• Real cyclotomic fields of prime conductor and their class numbers
• On the class-number of the maximal real subfield of a cyclotomic field.
• A short basis of the Stickelberger ideal of a cyclotomic field

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