Distribution of prime ideals of higher residue degree across ideal classes in the class groups

zbMath1455.11154arXiv1701.08351MaRDI QIDQ3306026

Prem Prakash Pandey

Publication date: 12 August 2020

Full work available at URL: https://arxiv.org/abs/1701.08351

zbMATH Keywords

norm equationsclass group annihilators

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Distribution of prime ideals (11R44) Multiplicative and norm form equations (11D57)

Related Items (1)

Primes of higher degree and annihilators of class groups

Cites Work

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• Primes of degree one and algebraic cases of Čebotarev's theorem
• Catalan's conjecture
• THE PROPORTION OF FAILURES OF THE HASSE NORM PRINCIPLE
• Class groups in cyclic $\ell $-extensions: Comments on a paper by G. Cornell
• Class numbers of real cyclotomic fields of composite conductor
• Galois groups of exponent two and the Brumer-Stark conjecture.
• An algorithm for finding an algebraic number whose norm is a given rational number.
• Solvability of norm equations over cyclic number fields of prime degree
• On solving relative norm equations in algebraic number fields

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