Abstract
One obtains, under certain restrictions, an estimate for the Hecke L -functions on the critical line, similar to the estimate
for the Riemann zeta-function.
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Literature cited
R. M. Kaufman, “On A. F. Lavrik's truncated equations,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,76, 124–158 (1978).
Z. I. Borevich and I. P. Shafarevich, Number Theory, Academic Press, New York (1966).
I. M. Vinogradov, The Method of Trigonometric Sums in the Theory of Numbers [in Russian], Moscow (1971).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 40–51, 1979.
In conclusion, I would like to express my gratitude to A. I. Vinogradov for his constant interest and help in the writing of this paper.
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Kaufman, R.M. An estimate of the Hecke L-functions on the critical line. J Math Sci 17, 2107–2115 (1981). https://doi.org/10.1007/BF01567590
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DOI: https://doi.org/10.1007/BF01567590