Remarks on Fermat quotient operators over function fields

被引:1
作者
Jeong, Sangtae [1 ]
Li, Chunlan [1 ]
机构
[1] Inha Univ, Dept Math, Inchon 402751, South Korea
基金
新加坡国家研究基金会;
关键词
Quotient operators; Fermat quotient operators; Hyperderivatives; Function fields;
D O I
10.1016/j.ffa.2013.04.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A study on Q(n)-quotients and Fermat quotients over function fields was initially undertaken in a previous paper [6] by J. Sauerberg and L. Shu (1997). In this note, we revisit them and further investigate the properties of two closely-related quotients. Then, we provide interesting problems by making conjectures related to the Fermat quotients. Crown Copyright (c) 2013 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码:60 / 68
页数:9
相关论文
共 8 条
[1]  
[Anonymous], B AM MATH SOC
[2]  
BRILLHART J, 1971, COMPUTERS NUMBER THE, P213
[3]  
Hellegouarch Y., 1999, CONT MATH, V225, P55
[4]   Calculus in positive characteristic p [J].
Jeong, Sangtae .
JOURNAL OF NUMBER THEORY, 2011, 131 (06) :1089-1104
[5]  
JOHNSON W, 1977, J REINE ANGEW MATH, V292, P196
[6]   PARA-DIVISIBILITY OF FERMAT QUOTIENTS [J].
JOHNSON, W .
MATHEMATICS OF COMPUTATION, 1978, 32 (141) :297-301
[7]  
Sauerberg J., 1997, Finite Fields and their Applications, V3, P275, DOI 10.1006/ffta.1996.0165
[8]   Distribution of values of polynomial Fermat quotients [J].
Shparlinski, Igor E. ;
Winterhof, Arne .
FINITE FIELDS AND THEIR APPLICATIONS, 2013, 19 (01) :93-104