Abstract
In this Letter we obtain a generalization of the Frobenius–Stickelberger addition formula for the (hyperelliptic) σ-function of a genus 2 curve in the case of three vector-valued variables. The result is given explicitly in the form of a polynomial in Kleinian ℘-functions.
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Eilbeck, J.C., Enolskii, V.Z. & Previato, E. On a Generalized Frobenius–Stickelberger Addition Formula. Letters in Mathematical Physics 63, 5–17 (2003). https://doi.org/10.1023/A:1022918717546
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DOI: https://doi.org/10.1023/A:1022918717546