A generalization of Morley's congruence

被引：17

作者：

Liu, Jianxin ^{[1
]}

Pan, Hao ^{[2
]}

Zhang, Yong ^{[3
]}

机构：

[1] Nanjing Inst Technol, Dept Teaching Affairs, Nanjing 211167, Jiangsu, Peoples R China

[2] Nanjing Inst Technol, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[3] Nanjing Inst Technol, Dept Math & Phys, Nanjing 211167, Jiangsu, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

Morley's congruence; q-analog; binomial sums; POWERS; SUMS; RECURRENCES;

D O I：

10.1186/s13662-015-0568-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an explicit formula for q-analog of Morley's congruence.

引用

页数：7

共 10 条

[1]

Andrews GE., 1999, Special functions, encyclopedia of mathematics and its applications

[2]

[Anonymous], 1972, Fibonacci Quart., DOI DOI 10.1080/00150517.1972.12430893

[3] On the residues of binomial coefficients and their products modulo prime powers [J].

Cai, TX ;

Granville, A .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2002, 18 (02) :277-288

[4]

Calkin NJ, 1998, ACTA ARITH, V86, P17

[5] RECURRENCES FOR SUMS OF POWERS OF BINOMIAL COEFFICIENTS [J].

CUSICK, TW .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1989, 52 (01) :77-83

[6]

DeBruijn N.G., 1981, Asymptotic Methods in Analysis

[7] RECURRENCES FOR ALTERNATING SUMS OF POWERS OF BINOMIAL COEFFICIENTS [J].

MCINTOSH, RJ .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1993, 63 (02) :223-233

[8]

Morley F., 1895, Annals of Math., V9, P168

[9] A q-analogue of Lehmer's congruence [J].

Pan, Hao .

ACTA ARITHMETICA, 2007, 128 (04) :303-318

[10] SOME RECURRENCES FOR SUMS OF POWERS OF BINOMIAL COEFFICIENTS [J].

PERLSTADT, MA .

JOURNAL OF NUMBER THEORY, 1987, 27 (03) :304-309

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