Abstract
In this paper we introduce an arithmetical function δ(n) the difference between the number of divisors of n congruent to 1 mod 3 and those congruent to -1 mod 3. This function then is related to the classical function σ(n) which is the sum of the divisors of n. In particular we prove the identity 3(∑n=0∞δ(3n+1)xn) 2 = ∑n=0∞σ(3n+2)xn.
Original language | English |
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Pages (from-to) | 309-315 |
Number of pages | 7 |
Journal | Ramanujan Journal |
Volume | 8 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2004 |
Keywords
- Divisor functions
- Theta functions