ON STARK’S CLASS NUMBER CONJECTURE AND THE GENERALISED BRAUER–SIEGEL CONJECTURE

DOI10.1017/S0004972721001076OpenAlexW4206033189WikidataQ113858142 ScholiaQ113858142MaRDI QIDQ5867867

Peng-Jie Wong

Publication date: 19 September 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721001076

zbMATH Keywords

CM fieldsStark's conjecturealmost normal number fieldsGauss's conjecture

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Other analytic theory (11R47)

Cites Work

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• On Artin's conjecture and the class number of certain CM fields. I,II
• Some effective cases of the Brauer-Siegel theorem
• Gauss’ class number problem for imaginary quadratic fields
• Explicit Upper Bounds for Residues of Dedekind Zeta Functions and Values ofL-Functions ats= 1, and Explicit Lower Bounds for Relative Class Numbers of CM-Fields
• On the Generalized Brauer–Siegel Theorem for Asymptotically Exact Families of Number Fields with Solvable Galois Closure
• On Euler-Kronecker constants and the generalized Brauer-Siegel conjecture
• On the Euler-Kronecker constants of global fields and primes with small norms
• On the Zeta-Functions of Algebraic Number Fields
• Some analytic estimates of class numbers and discriminants

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