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- W337674966 abstract "In this paper, we consider modular local polynomials. These functions satisfy modularity while they are locally defined as polynomials outside of an exceptional set. We prove an inequality for the dimension of the space of such forms when the exceptional set is given by certain natural geodesics related to binary quadratic forms of (positive) discriminant $D$. We furthermore show that the dimension is the largest possible if and only if $D$ is an even square. Following this, we describe how to use the methods developped in this paper to establish an algorithm which explicitly determines the space of modular local polynomials for each $D$." @default.
- W337674966 created "2016-06-24" @default.
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- W337674966 date "2014-05-03" @default.
- W337674966 modified "2023-10-01" @default.
- W337674966 title "Modular local polynomials" @default.
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- W337674966 doi "https://doi.org/10.48550/arxiv.1405.0589" @default.
- W337674966 hasPublicationYear "2014" @default.
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