The generalized divisor problem and the Riemann hypothesis
1991 ◽
Vol 122
◽
pp. 149-159
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Keyword(s):
Let dz(n) be a multiplicative function defined bywhere s = σ + it, z is a. complex number, and ζ(s) is the Riemann zeta function. Here ζz(s) = exp(z log ζ(s)) and let log ζ(s) take real values for real s > 1. We note that if z is a natural number dz(n) coincides with the divisor function appearing in the Dirichlet-Piltz divisor problem, and d-1(n) with the Möbious function.
2004 ◽
Vol 2
(4)
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pp. 494-508
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Keyword(s):
Keyword(s):
2017 ◽
Vol 296
(1)
◽
pp. 142-153
Keyword(s):
2020 ◽
Vol 22
(12)
◽
pp. 3953-3980
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