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math.NT2024
Omega theorem for fractional sigma function
Yuan Qiu, Alexander B. Kalmynin
The research in the subfield of analytic number theory around error term of summation of sigma functions possesses a history which can be dated back to the mid-19th century when Di…
math.NT2022
Linear recurrences of order at most two in nontrivial small divisors and large divisors
Hung Viet Chu, Kevin Huu Le, Steven J. Miller +2
For each positive integer , define $$S'_N \ =\ \{1 < d < \sqrt{N}: d|N\}\mbox{ and }L'_N \ =\ \{\sqrt{N} < d < N : d|N\}.$$ Recently, Chentouf characterized all positive integer…