Powers in arithmetic progressions
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DOI: 10.1007/s11139-020-00331-5
Abstract: We investigate the function $$P_{a,b;N}(\ell )$$ describing the number of $$\ell $$ -th powers among the first N terms of an arithmetic progression $$ax+b$$ . We completely describe the arithmetic progressions containing the most $$\ell… read more here.
Keywords: powers arithmetic; arithmetic progressions;