Upper bounds for sums of powers of divisor functions

DOI10.1016/0022-314X(92)90028-NzbMath0748.11046OpenAlexW2044045557MaRDI QIDQ1185819

Karl K. Norton

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90028-n

zbMATH Keywords

upper boundsasymptotic formulageneralized divisor functionmaximal ordersums of powers of divisor functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Rate of growth of arithmetic functions (11N56)

Related Items (14)

Explicit bound of the divisor function ⋮ Multiplicative partitions of numbers with a large squarefree divisor ⋮ High pseudomoments of the Riemann zeta function ⋮ Unnamed Item ⋮ THE DISTRIBUTION OF THE MAXIMUM OF CHARACTER SUMS ⋮ The distribution of numbers with many factorizations ⋮ Moments of polynomials with random multiplicative coefficients ⋮ Limitations to equidistribution in arithmetic progressions ⋮ Partial sums of typical multiplicative functions over short moving intervals ⋮ On the constant factor in several related asymptotic estimates ⋮ Estimates of a certain sum involving coefficients of cusp forms in weight and level aspects ⋮ Patterns of primes in the Sato-Tate conjecture ⋮ Unnamed Item ⋮ THE MAXIMAL ORDER OF ITERATED MULTIPLICATIVE FUNCTIONS

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