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Identity between the fourth-degree Riemann theta-constant of genus 2 and the Eisenstein series

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Abstract

One proves the identity between the Siegel theta-series of genus 2 associated with the 4×4 identity matrix and the corresponding Eisenstein-Siegel series.

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Authors
  1. O. M. Fomenko
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Additional information

The author dedicates this paper to Askol'd Ivanovich Vinogradov on the occasion of his 50th birthday.

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 158–168, 1979.

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Fomenko, O.M. Identity between the fourth-degree Riemann theta-constant of genus 2 and the Eisenstein series. J Math Sci 17, 2191–2198 (1981). https://doi.org/10.1007/BF01567598

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