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- W2359205263 abstract "The classical equations (1) and (3) have a very extensive literature. The main purpose of recent investigations is to solve these equations with as large bound for the greatest prime factor PðbÞ of b as possible. General elementary methods have been developed for studying (1) and (3) which, however, cannot be applied if k is small. As a generalization of previous results obtained for small values of k, we completely solve Eq. (1) for k4 5, under the assumption that PðbÞ4pk ,t hek-th prime (cf. Theorem 1). A similar result is established for Eq. (3) (cf. Theorem 2). In our proofs, several deep results and powerful techniques are combined from modern Diophantine analysis." @default.
- W2359205263 created "2016-06-24" @default.
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- W2359205263 date "2005-01-01" @default.
- W2359205263 modified "2023-09-27" @default.
- W2359205263 title "Almost Perfect Powers in Products of Consecutive Integers" @default.
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