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math.NT2016★ 7 cited
A Note on the least squarefree number in an arithmetic progression
Ramon M. Nunes
We prove an asymptotic formula for squarefree in arithmetic progressions with squarefree moduli, improving previous results by Prachar. The main tool is an estimate for counting so…
math.NT2016★ 2 cited
Squarefree integers in large arithmetic progressions
Ramon M. Nunes
We show that the exponent of distribution of the sequence of squarefree numbers in arithmetic progressions of prime modulus is , improving a result of Prachar from…