scholarly journals Some Artin–Schreier type function fields over finite fields with prescribed genus and number of rational places

2007 ◽  
Vol 210 (1) ◽  
pp. 113-135 ◽  
Author(s):  
Emrah Çakçak ◽  
Ferruh Özbudak
Keyword(s):  
Finite Fields ◽  
Function Fields ◽  
Type Function ◽  
Rational Places

scholarly journals Extremal behaviour of ± 1-valued completely multiplicative functions in function fields

2021 ◽  
Vol 56 (1) ◽  
pp. 79-94
Author(s):  
Nikola Lelas ◽  
Keyword(s):  
Rational Function ◽  
Finite Fields ◽  
Function Fields ◽  
Mean Value ◽  
Multiplicative Functions ◽  
Irreducible Polynomials ◽  
Liouville Function ◽  
The Mean

We investigate the classical Pólya and Turán conjectures in the context of rational function fields over finite fields 𝔽q. Related to these two conjectures we investigate the sign of truncations of Dirichlet L-functions at point s=1 corresponding to quadratic characters over 𝔽q[t], prove a variant of a theorem of Landau for arbitrary sets of monic, irreducible polynomials over 𝔽q[t] and calculate the mean value of certain variants of the Liouville function over 𝔽q[t].

New Optimal Tame Towers of Function Fields over Small Finite Fields

2002 ◽  
pp. 372-389 ◽  
Author(s):  
Wen-Ching W. Li ◽  
Hiren Maharaj ◽  
Henning Stichtenoth ◽  
Noam D. Elkies
Keyword(s):  
Finite Fields ◽  
Function Fields ◽  
Towers Of Function Fields

scholarly journals A note on towers of function fields over finite fields

1998 ◽  
Vol 26 (11) ◽  
pp. 3737-3741 ◽  
Author(s):  
Ferruh Özbudak ◽  
Michael Thomas
Keyword(s):  
Finite Fields ◽  
Function Fields ◽  
Towers Of Function Fields
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