author = {Peter Paule and Silviu Radu},
title = {{A Proof of the Weierstrass Gap Theorem not using the Riemann-Roch Formula}},
language = {english},
abstract = {Usually the Weierstraß gap theorem is derived as a straightfor-ward corollary of the Riemann-Roch theorem. Our main objective in thisarticle is to prove the Weierstraß gap theorem by following an alternative ap-proach based on “first principles” and which does not use the Riemann-Rochformula. Having mostly applications in connection with modular functions inmind, we describe our approach for the case when the given compact Riemannsurface is associated with the modular curveX0(N).},
number = {19-02},
year = {2019},
month = {May},
howpublished = {To appear in the Annals of Combinatorics: special issue dedicated to George E. Andrews at the occasion of his 80th birthday.},
keywords = {modular functions, weierstrass gap theorem},
length = {47},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}