THE FOURTH MOMENT OF DIRICHLET L-FUNCTIONS FOR THE RATIONAL FUNCTION FIELD
2014 ◽
Vol 10
(01)
◽
pp. 183-218
◽
Keyword(s):
We study the moments of the Dirichlet L-function when defined over the polynomial ring over finite fields. We obtain an asymptotic formula of the fourth moment for the central value of these Dirichlet L-functions. In addition, we find a lower bound for the 2k th moment of these L-functions. These results agree up to constants with the polynomial ring analog of the Keating and Snaith Conjecture for the asymptotic of leading terms.
Keyword(s):
Keyword(s):
2006 ◽
Vol 74
(3)
◽
pp. 461-470
◽
2010 ◽
Vol 82
(2)
◽
pp. 232-239
◽
2003 ◽
Vol 113
(2)
◽
pp. 153-163
◽
Keyword(s):
1993 ◽
Vol 48
(2)
◽
pp. 313-319
◽
Keyword(s):