TY  - JOUR
IS  - 02
Y1  - 2014/03//
A1  - Humphries, Peter
UR  - http://dx.doi.org/10.1142/S1793042113500978
SP  - 341
KW  - Mertens Conjecture; Function Field; Möbius Function; Hyperelliptic Curve
TI  - On the Mertens Conjecture for Function Fields
N2  - We study the natural analogue of the Mertens conjecture in the setting of global function fields. Building on the work of Cha, we show that most hyperelliptic curves do not satisfy the Mertens conjecture, but that if we modify the Mertens conjecture to have a larger constant, then this modified conjecture is satisfied by a positive proportion of hyperelliptic curves.
VL  - 10
N1  - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions.
SN  - 1793-7310
ID  - discovery1569442
AV  - public
EP  - 361
JF  - International Journal of Number Theory
ER  -