Products of terms of arithmetic progressions yielding a perfect power have been long investigated by many mathematicians. In the particular case of consecutive integers, various finiteness results are known for the polynomial values of such products. In the present paper we consider generalizations of these result in various directions.

中文翻译：

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算术级数乘积的多项式值

许多数学家长期以来一直在研究产生完美幂的等差数列项的乘积。在连续整数的特殊情况下，这些乘积的多项式值的各种有限结果是已知的。在本文中，我们考虑在各个方向上对这些结果的概括。