TY - JOUR
T1 - Biases in the prime number race of function fields
AU - Cha, Byungchul
AU - Kim, Seick
PY - 2010/4
Y1 - 2010/4
N2 - We derive a formula for the density of positive integers satisfying a certain system of inequality, often referred as prime number races, in the case of the polynomial rings over finite fields. This is a function field analog of the work of Feuerverger and Martin, who established such formula in the number field case, building up on the fundamental work of Rubinstein and Sarnak.
AB - We derive a formula for the density of positive integers satisfying a certain system of inequality, often referred as prime number races, in the case of the polynomial rings over finite fields. This is a function field analog of the work of Feuerverger and Martin, who established such formula in the number field case, building up on the fundamental work of Rubinstein and Sarnak.
KW - Chebyshev's bias
KW - Comparative number theory
KW - Linear independence
KW - Prime number race
UR - http://www.scopus.com/inward/record.url?scp=76749119788&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=76749119788&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2009.09.015
DO - 10.1016/j.jnt.2009.09.015
M3 - Article
AN - SCOPUS:76749119788
SN - 0022-314X
VL - 130
SP - 1048
EP - 1055
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 4
ER -