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October 9, 2025Open Access

Effective Brauer-Siegel theorems for Artin L-functions

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Authors

PCPeter J. ChoRORobert J. Lemke OliverAZAsif Zaman

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Overview

This paper presents bounds for the leading term of Artin L-functions at s=1, highlighting unconditional results.

Key Points

  • Effective upper and lower bounds for leading terms of artin l-functions are established, enhancing previous results.
  • The results are independent of unproven hypotheses, indicating strong foundational work in the field.
  • The study extends previous work on dedekind zeta functions, revealing deeper insights into their behavior.
  • The bounds achieved are as robust as what is expected given current knowledge related to the generalized riemann hypothesis.

Cite This Study

Cho et al. (2025) studied this question.

synapsesocial.com/papers/68e7d631bd66d359be6266f2https://doi.org/10.48550/arxiv.2510.02309
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  4. 4The Generalised Riemann Hypothesis for Dirichlet L-functions via Rudnick–Sarnak correlations and linear programming2026
  5. 5On the boundedness of Euler-Stieltjes constants for the Rankin-Selberg \(L-\)function2024 · 1 citations