The distribution of the real parts of the zeros of the cubic L-function is considered. Some observations based on numerical results are presented. Bibliography: 4 titles.
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S. J. Patterson, “A cubic analogue of the theta series I, II,” J. reine und angew. Math., 296, 125–161, 217–220 (1977).
N. V. Proskurin, Cubic Metaplectic Forms and Theta Functions (Lect. Notes Math., 1677), Springer (1998).
N. V. Proskurin, “On the Dirichlet series related to the cubic theta function,” Zap. Nauchn. Semin. POMI, 337, 212–232 (2006).
N. V. Proskurin, “Computation of ten zeros of the L-function associated with the cubic theta function,” Zap. Nauchn. Semin. POMI, 357, 180–194 (2008).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 383, 2010, pp. 144–147.
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Proskurin, N.V. On the distribution of the zeros of the cubic L-function. J Math Sci 178, 198–200 (2011). https://doi.org/10.1007/s10958-011-0539-8
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DOI: https://doi.org/10.1007/s10958-011-0539-8