Almost perfect powers in consecutive integers (II)

被引：3

作者：

Saradha, N. ^{[1
]}

Shorey, T. N. ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2008年 / 19卷 / 04期

关键词：

Arithmetic progressions; Exponential Diophantine equations; Generalized Fermat equations; Modular methods; Thue equations;

D O I：

10.1016/S0019-3577(08)80027-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k >= 4 be an integer. We find all integers of the form by(l) where l >= 2 and the greatest prime factor of b is at most k (i.e. nearly a perfect power) such that they are also products of k consecutive integers with two terms omitted.

引用

页码：649 / 658

页数：10

共 50 条

[1] Almost perfect powers in consecutive integers
Hanrot, G
Saradha, N
Shorey, TN
[J]. ACTA ARITHMETICA, 2001, 99 (01) : 13 - 25
[2] Almost perfect powers in products of consecutive integers
Györy, K
Pintér, A
[J]. MONATSHEFTE FUR MATHEMATIK, 2005, 145 (01): : 19 - 33
[3] Almost Perfect Powers in Products of Consecutive Integers
K. Györy
Á. Pintér
[J]. Monatshefte für Mathematik, 2005, 145 : 19 - 33
[4] Almost perfect powers in products of consecutive integers (vol 145, pg 19 (2005))
Györy, K
Pintér, A
[J]. MONATSHEFTE FUR MATHEMATIK, 2005, 146 (04): : 341 - 341
[5] PERFECT POWERS IN PRODUCTS OF INTEGERS FROM A BLOCK OF CONSECUTIVE INTEGERS
SHOREY, TN
[J]. ACTA ARITHMETICA, 1987, 49 (01) : 71 - 79
[6] Perfect powers in products of integers from a block of consecutive integers .2.
Shorey, TN
Nesterenko, YV
[J]. ACTA ARITHMETICA, 1996, 76 (02) : 191 - 198
[7] Powers of consecutive integers
Reid, Michael
[J]. AMERICAN MATHEMATICAL MONTHLY, 2006, 113 (07): : 659 - 660
[8] Correction to the Paper “Almost Perfect Powers in Products of Consecutive Integers” (Monatsh. Math. 145, 19–33 (2005))
K. Györy
Á. Pintér
[J]. Monatshefte für Mathematik, 2005, 146 : 341 - 341
[9] SUMS OF INTEGRAL POWERS OF CONSECUTIVE INTEGERS
CREUTZ, E
[J]. NUCLEAR SCIENCE AND ENGINEERING, 1973, 52 (01) : 142 - 151
[10] ON SUMS OF POWERS OF N CONSECUTIVE INTEGERS
HOLLCROFT, TR
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (06) : 526 - 526

← 1 2 3 4 5 →