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math.NT2020★ 1 cited
Moments of the distribution of -free numbers in short intervals and arithmetic progressions
Ramon M. Nunes
We show estimates for the distribution of -free numbers in short intervals and arithmetic progressions. We argue that, at least in certain ranges, these estimates agree with a c…
math.NT2020★ 8 cited
Spectral reciprocity via integral representations
Ramon M. Nunes
We prove a spectral reciprocity formula for automorphic forms on over a number field that is remininscent of the one found by Blomer and Khan. Our approach uses pe…