An extremal result for divisor functions (Q1074639)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An extremal result for divisor functions |
scientific article; zbMATH DE number 3948395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extremal result for divisor functions |
scientific article; zbMATH DE number 3948395 |
Statements
An extremal result for divisor functions (English)
0 references
1986
0 references
Some obvious inequalities for Bernoulli's periodic function \(B(x)=x-[x]- 1/2\) lead to simple estimates of the series \(\sum^{\infty}_{m=1}B(x/m)m^{-a}\) for \(a>1\). These are applied to the sum of the a-th power of the divisor function.
0 references
sum of powers of divisors
0 references
Bernoulli function
0 references
