TY - JOUR

T1 - On the number of solutions of the linear equation in finite carlitz modules

AU - Hsu, Chih Nung

AU - Nan, Ting Ting

N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.

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

VL - 137

SP - 2191

EP - 2200

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 7

ER -