Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form

Asymptotic results on arithmetic functions (11N37) Applications of sieve methods (11N36) Arithmetic functions; related numbers; inversion formulas (11A25)

Cites Work

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Explicit bounds for primes in arithmetic progressions
Odd multiperfect numbers of abundancy 4
On sums of primes
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Explicit estimates of some functions over primes
The non-existence of odd perfect numbers of a certain form
Untersuchungen über ungerade vollkommene Zahlen.
Sieve methods for odd perfect numbers
Explicit averages of non-negative multiplicative functions: going beyond the main term
Über mehrfach vollkommene Zahlen. II.
An explicit density estimate for Dirichlet $L$-series
Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
Chebyshev’s bias for composite numbers with restricted prime divisors
Sharper bounds for the Chebyshev function 𝜃(𝑥)
An exponential diophantine equation related to odd perfect numbers
Explicit averages of square-free supported functions: to the edge of the convolution method
Product of primes in arithmetic progressions
On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime
Quasiperfect numbers with the same exponent
Odd perfect numbers, Diophantine equations, and upper bounds
Explicit upper bounds for the remainder term in the divisor problem
Das asymptotische Verhalten von Summen über multiplikative Funktionen. II
A New Result Concerning the Structure of Odd Perfect Numbers
Odd perfect numbers of a special form
A new upper bound for odd perfect numbers of a special form

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