Abstract
In this paper, we find the coefficients for the Weierstrass ℘(x) and ℘′′(x)(x=1/2,τ/2,τ+1/2)-functions in terms of the arithmetic identities appearing in divisor functions which are proved by Ramanujan ([23]). Finally, we reprove congruences for the functions μ(n) and v(n) in Hahn's article [11, Theorems 6.1 and 6.2].
| Original language | English |
|---|---|
| Pages (from-to) | 241-261 |
| Number of pages | 21 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 50 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Convolution sums
- Weierstrass ℘(x) functions
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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