scholarly journals Infinite Global Fields and the Generalized Brauer—Siegel Theorem

2002 ◽  
Vol 2 (2) ◽  
pp. 329-402 ◽  
Author(s):  
M. Tsfasman ◽  
S. Vlăduţ
Keyword(s):  
Global Fields ◽  
Siegel Theorem

scholarly journals ON LOGARITHMIC DERIVATIVES OF ZETA FUNCTIONS IN FAMILIES OF GLOBAL FIELDS

2011 ◽  
Vol 07 (08) ◽  
pp. 2139-2156 ◽  
Author(s):  
PHILIPPE LEBACQUE ◽  
ALEXEY ZYKIN
Keyword(s):  
Error Term ◽  
Function Fields ◽  
Zeta Functions ◽  
Number Fields ◽  
Global Fields ◽  
And Function ◽  
Derivatives Of ◽  
Logarithmic Derivatives ◽  
Siegel Theorem

We prove a formula for the limit of logarithmic derivatives of zeta functions in families of global fields with an explicit error term. This can be regarded as a rather far reaching generalization of the explicit Brauer–Siegel theorem both for number fields and function fields.

THE BRAUER–SIEGEL THEOREM

2005 ◽  
Vol 72 (01) ◽  
pp. 40-52 ◽  
Author(s):  
STÉPHANE R. LOUBOUTIN
Keyword(s):  
Siegel Theorem

Embeddings of maximal tori in classical groups over local and global fields

2016 ◽  
Vol 80 (4) ◽  
pp. 17-34 ◽  
Author(s):  
Eva Bayer-Fluckiger ◽  
Eva Bayer-Fluckiger ◽  
Ting-Yu Lee ◽  
Ting-Yu Lee ◽  
Raman Parimala ◽  
...  
Keyword(s):  
Classical Groups ◽  
Global Fields ◽  
Maximal Tori

Reduction theory over global fields

1994 ◽  
Vol 104 (1) ◽  
pp. 207-216 ◽  
Author(s):  
T. A. Springer
Keyword(s):  
Reduction Theory ◽  
Global Fields

scholarly journals A comparison between obstructions to local-global principles over semi-global fields

2021 ◽  
pp. 135-146
Author(s):  
David Harbater ◽  
Julia Hartmann ◽  
Valentijn Karemaker ◽  
Florian Pop
Keyword(s):  
Global Fields ◽  
Global Principles

scholarly journals Factoring polynomials over global fields II

2005 ◽  
Vol 40 (6) ◽  
pp. 1325-1339 ◽  
Author(s):  
José Méndez Omaña ◽  
Michael E. Pohst
Keyword(s):  
Global Fields ◽  
Factoring Polynomials
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