Coincidence of $L$-functions

DOI10.4064/aa211012-14-6OpenAlexW4290692558MaRDI QIDQ5041522

Masanari Kida, Yuta Katayama

Publication date: 14 October 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa211012-14-6

zbMATH Keywords

Heisenberg groupHecke \(L\)-functionArtin \(L\)-functionisoclinismShintani-Stark unit

Mathematics Subject Classification ID

Galois theory (11R32) Other number fields (11R21) Zeta functions and (L)-functions of number fields (11R42)

Related Items (2)

Arithmetically equivalent fields in a Galois extension with Frobenius Galois group of 2-power degree ⋮ Hecke \(L\)-functions of certain subextensions in an extraspecial extension

Uses Software

• Magma

Cites Work

• Are number fields determined by Artin \(L\)-functions?
• On Artin \(L\)-functions of certain central extensions
• Group extensions, representations, and the Schur multiplicator
• Serre's conjecture and its consequences
• On indefinite modular forms of weight one
• On isoclinic groups
• On certain ray class invariants of real quadratic fields
• The Magma algebra system. I: The user language
• Galois theoretic study on simultaneous representation of primes by binary quadratic forms
• Eta products of weight one, and decomposition of primes in non-abelian extensions
• Eta Products and Theta Series Identities
• Advanced Topics in Computional Number Theory
• Isoclinism classes of Galois groups of number fields
• Binary theta series and modular forms with complex multiplication
• The classification of prime-power groups.
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