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arxiv: 1811.11919 · v2 · submitted 2018-11-29 · 🧮 math.NT · math.CA

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On the number of kth powers inside arithmetic progressions

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classification 🧮 math.NT math.CA
keywords arithmeticinsidenumberpowersprogressionsarbitraryboundsdivisors
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We find upper bounds that are sharp for the number of $k$th powers inside arbitrary arithmetic progressions whose step has $O(1)$ many divisors.

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