TY - JOUR
T1 - On the number of solutions of the linear equation in finite carlitz modules
AU - Hsu, Chih Nung
AU - Nan, Ting Ting
PY - 2009/7
Y1 - 2009/7
N2 - We deduce an accurate formula for the number of solutions of the linear equation in generators of finite Carlitz modules, and the equation always has solutions except for some cases. Therefore, we have a criterion for the existence of the solutions of the linear equation. Moreover, we have a similar result in normal bases when we apply our main theorem to a special case.
AB - We deduce an accurate formula for the number of solutions of the linear equation in generators of finite Carlitz modules, and the equation always has solutions except for some cases. Therefore, we have a criterion for the existence of the solutions of the linear equation. Moreover, we have a similar result in normal bases when we apply our main theorem to a special case.
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U2 - 10.1090/S0002-9939-09-09747-0
DO - 10.1090/S0002-9939-09-09747-0
M3 - Article
AN - SCOPUS:77951082101
SN - 0002-9939
VL - 137
SP - 2191
EP - 2200
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 7
ER -