Distribution of multinomial and q-binomial coefficients modulo p

被引：13

作者：

Barbolosi, D

Grabner, PJ

机构：

[1] UNIV AIX MARSEILLE 3, FAC SCI & TECH ST JEROME, URA CNRS 225, EQUIPE DSA, F-13013 MARSEILLE, FRANCE

[2] GRAZ TECH UNIV, INST MATH A, A-8010 GRAZ, AUSTRIA

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 1996年 / 7卷 / 02期

关键词：

D O I：

10.1016/0019-3577(96)85084-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the distribution of binomial and multinomial coefficients in the residue classes module a prime. It is well known that 'most of the' binomial coefficients are in the 0 residue class; we consider the distribution of the remaining values in the non-0 residue classes. Finally, we use similar methods to study Gaussian binomial coefficients module an irreducible polynomial over a finite field.

引用

页码：129 / 135

页数：7

共 12 条

[1]

Dickson L. E., 1952, Divisibility and Primality, V1

[2]

Fine N. J., 1947, Am. Math. Mon., V54, P589, DOI [10.2307/2304500, DOI 10.2307/2304500]

[3] CONGRUENCE PROPERTIES OF ORDINARY AND Q-BINOMIAL COEFFICIENTS [J].