Perfect powers in q-binomial coefficients

被引：0

作者：

Luca, Florian ^{[1
,2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58180, Michoacan, Mexico

[2] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, Johannesburg, South Africa

来源：

ACTA ARITHMETICA | 2012年 / 151卷 / 03期

关键词：

q-binomial coefficients; exponential diophantine equations; DIOPHANTINE EQUATIONS; SEQUENCES; BOUNDS;

D O I：

10.4064/aa151-3-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：279 / 292

页数：14

共 50 条

[1] On the divisibility of sums of even powers of q-binomial coefficients
Ji-Cai Liu
Xue-Ting Jiang
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
[2] On the divisibility of sums of even powers of q-binomial coefficients
Liu, Ji-Cai
Jiang, Xue-Ting
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (02)
[3] Proof of a congruence on sums of powers of q-binomial coefficients
Guo, Victor J. W.
Liu, Ji-Cai
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2017, 13 (06) : 1571 - 1577
[4] A CONGRUENCE ON Q-BINOMIAL COEFFICIENTS
Xu, Jie-Hong
Zhao, Bao-Zhu
[J]. 2012 INTERNATIONAL CONFERENCE ON WAVELET ACTIVE MEDIA TECHNOLOGY AND INFORMATION PROCESSING (LCWAMTIP), 2012, : 390 - 393
[5] Factors of sums involving q-binomial coefficients and powers of q-integers
Guo, Victor J. W.
Wang, Su-Dan
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (10) : 1670 - 1679
[6] SOME q-BINOMIAL COEFFICIENTS
Shannon, A. G.
[J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2006, 12 (01) : 13 - 20
[7] Some congruences involving fourth powers of central q-binomial coefficients
Guo, Victor J. W.
Wang Su-Dan
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2020, 150 (03) : 1127 - 1138
[8] ON ALTERNATING SUMS OF BINOMIAL AND q-BINOMIAL COEFFICIENTS
El Bachraoui, Mohamed
[J]. ARS COMBINATORIA, 2020, 151 : 257 - 272
[9] Congruences on sums of q-binomial coefficients
Liu, Ji-Cai
Petrov, Fedor
[J]. ADVANCES IN APPLIED MATHEMATICS, 2020, 116 (116)
[10] An overpartition analogue of the q-binomial coefficients
Jehanne Dousse
Byungchan Kim
[J]. The Ramanujan Journal, 2017, 42 : 267 - 283

← 1 2 3 4 5 →