Glasnik matematički, Vol. 56 No. 1, 2021.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.56.1.06
Extremal behaviour of ± 1-valued completely multiplicative functions in function fields
Nikola Lelas
orcid.org/0000-0003-2575-0628
; Faculty of Mathematics, University of Belgrade, 11000 Belgrade, Serbia
Sažetak
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].
Ključne riječi
Liouville function, quadratic characters, Möbius function, function fields
Hrčak ID:
259302
URI
Datum izdavanja:
24.6.2021.
Posjeta: 842 *