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Sum of Divisors in a Ring of Gaussian Integers |
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| Authors: | Sinyavskii O V |
| Institution: | (1) Odessa University, Odessa |
| Abstract: | We construct an asymptotic formula for a sum function for 
a
( ), where
a
() is the sum of the ath powers of the norms of divisors of the Gaussian integer on an arithmetic progression  0 (mod  ) and in a narrow sector  1  arg < 2. For this purpose, we use a representation of
a
(n) in the form of a series in the Ramanujan sums. |
| Keywords: | |
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