TY - JOUR
T1 - Additive patterns in a multiplicative group in a finite field
AU - Choi, Geumlan
AU - Zaharescu, Alexandra
PY - 2003/6
Y1 - 2003/6
N2 - Let Fq be a field with q elements, let d > 1 be a divisor of q - 1 and Ud be the subgroup of Fqx of index d. Under some growth conditions, we show that the distribution of s-tuples of elements of Ud which follow a given additive pattern approaches a Poissonian distribution.
AB - Let Fq be a field with q elements, let d > 1 be a divisor of q - 1 and Ud be the subgroup of Fqx of index d. Under some growth conditions, we show that the distribution of s-tuples of elements of Ud which follow a given additive pattern approaches a Poissonian distribution.
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U2 - 10.1007/s00229-003-0360-x
DO - 10.1007/s00229-003-0360-x
M3 - Article
AN - SCOPUS:0038648078
VL - 111
SP - 187
EP - 194
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
IS - 2
ER -