On Euler-Kronecker constants and the generalized Brauer-Siegel conjecture

DOI10.1090/proc/14793zbMath1446.11200arXiv1908.03044OpenAlexW2982568968WikidataQ123073413 ScholiaQ123073413MaRDI QIDQ5218187

Anup B. Dixit

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03044

zbMATH Keywords

cyclotomic fieldsBrauer-Siegel theoremEuler-Kronecker constantsasymptotically exact families

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Related Items (4)

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields ⋮ On Ihara’s conjectures for Euler–Kronecker constants ⋮ A closed-form expression for the Euler-Kronecker constant of a quadratic field ⋮ ON STARK’S CLASS NUMBER CONJECTURE AND THE GENERALISED BRAUER–SIEGEL CONJECTURE

Cites Work

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• Asymptotic properties of Dedekind zeta functions in families of number fields
• Explicit zero density theorems for Dedekind zeta functions
• Asymptotic properties of zeta-functions
• Some effective cases of the Brauer-Siegel theorem
• On the Euler Kronecker Constant of a Cyclotomic Field, II
• Asymptotic methods in number theory and algebraic geometry
• ON THE CLASS-NUMBER IN IMAGINARY QUADRATIC FIELDS
• On the Generalized Brauer–Siegel Theorem for Asymptotically Exact Families of Number Fields with Solvable Galois Closure
• An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
• Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
• On the Euler-Kronecker constants of global fields and primes with small norms
• Asymptotic behaviour of the Euler-Kronecker constant
• On the Zeta-Functions of Algebraic Number Fields

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