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math.NT2022
A pretentious proof of Linnik's estimate for primes in arithmetic progressions
Stelios Sachpazis
In the present paper, we adopt a pretentious approach and prove a strongly uniform estimate for the sums of the von Mangoldt function on arithmetic progressions. This estimate…
math.NT2022★ 1 cited
On multiplicative functions with small partial sums
Stelios Sachpazis
In analytic number theory, several results make use of information regarding the prime values of a multiplicative function in order to extract information about its averages. Examp…