CONGRUENCES OF THE WEIERSTRASS <TEX>${\wp}(x)$</TEX> AND <TEX>${\wp}^{{\prime}{\prime}}(x)$</TEX>(<TEX>$x=\frac{1}{2}$</TEX>, <TEX>$\frac{\tau}{2}$</TEX>, <TEX>$\frac{\tau+1}{2}$</TEX>)-FUNCTIONS ON DIVISORS

In this paper, we find the coefficients for the Weierstrass and (, , )-functions in terms of the arithmetic identities appearing in divisor functions which are proved by Ramanujan ([23]). Finally, we reprove congruences for the functions and in Hahn&#39;s article [11, Theorems 6.1 and 6.2].