We find all the main relations for periods and the forms of bilinear relations between periods of elementary Prym differentials of all three kinds for any characters on a variable compact Riemann surface. Bibliography: 8 titles. Illustrations: 5 figures.
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 14, No. 1, 2014, pp. 66-83.
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Pushkareva, T.A. Bilinear Relations for Periods of Prym Differentials on Riemann Surfaces. J Math Sci 211, 829–846 (2015). https://doi.org/10.1007/s10958-015-2638-4
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DOI: https://doi.org/10.1007/s10958-015-2638-4