Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical series
|
| gptkbp:application |
gptkb:Modular_forms
gptkb:Partition_theory Divisor functions |
| gptkbp:convergesTo |
|q| < 1
|
| gptkbp:defines |
A Lambert series is a series of the form ∑_{n=1}^∞ a_n q^n / (1 - q^n)
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Number_theory q-series |
| https://www.w3.org/2000/01/rdf-schema#label |
Lambert series
|
| gptkbp:namedAfter |
gptkb:Johann_Heinrich_Lambert
|
| gptkbp:property |
Special cases include the sum of divisors function
Can be used to express arithmetic functions as generating functions |
| gptkbp:relatedTo |
gptkb:lion
gptkb:q-Pochhammer_symbol gptkb:Euler's_function Generating functions |
| gptkbp:variant |
q
a_n |
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|