Article
The Four-Dimensional Divisor Problem
Authors
Abstract
Leta4 = (a1, a2, a3, a4), where ai are natural numbers with 1 ≤ a1 ≤ a2 ≤ a3 ≤ a4. The divisor function d(a4; n) counts the numbers of ways of expressing n as the product n = na1na2 na3na4 . A new proof for the representa- 1 2 3 4 tion of the remainder term in the asymptotic formula for the summatory function of the four-dimensional divisor function is given.
Keywords
Divisor function, Riemann zetafunction, lattices.
Citation
Kratzel, E. (2008). The four-dimensional divisor problem. Uniform Distribution Theory, 3(1), 93–103.
E. Kratzel, “The four-dimensional divisor problem,” Uniform Distribution Theory, vol. 3, no. 1, pp. 93–103, 2008.
Kratzel E. The four-dimensional divisor problem. Uniform Distribution Theory. 2008;3(1):93–103.
Kratzel, E. (2008), ‘The four-dimensional divisor problem’, Uniform Distribution Theory, 3(1), pp. 93–103.
Kratzel, Ekkehard. “The Four-dimensional Divisor Problem.” Uniform Distribution Theory, vol. 3, no. 1, 2008, pp. 93–103.
Kratzel, Ekkehard. “The Four-dimensional Divisor Problem.” Uniform Distribution Theory 3, no. 1 (2008): 93–103.
Export citation
Published by: Engineering Journals
