Abstract
Hirzebruch and van der Geer attached theta functions to self-orthogonal, C subset of C-perpendicular to, linear codes C subset of F-p(n), for p an odd prime, and related them to the Lee weight enumerator of the code [5, Ch. 5]. Choide and Jeong extended this result to Jacobi theta functions and provided an analytic proof of the Lee weight MacWilliams Identity for such C [3]. We provide an analytic proof of the Hamming weight MacWilliams identity for linear codes C subset of F-p(n), generalizing the seminal result for binary codes C subset of F-2(n) [2].