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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 82, Pages 103–135
(Mi znsl2096)
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This article is cited in 6 scientific papers (total in 6 papers)
Summation formulas for general Kloosterman sums
N. V. Proskurin
Abstract:
N. V. Kuznetsov's summation formula is generalized to the case of a discrete subgroup $G\subset SL_2(\mathbf R)$ and a system of multiplicators $\chi$, satisfying certain not too restrictive conditions. In the arithmetic cases, when $G$ is a congruence-subgroup in $SL_2(\mathbf Z)$, these conditions are satisfied. N. V. Kuznetsov's formula has been proved for the case $G=SL_2(\mathbf Z)$, $\chi=1$.
Citation:
N. V. Proskurin, “Summation formulas for general Kloosterman sums”, Studies in number theory. Part 5, Zap. Nauchn. Sem. LOMI, 82, "Nauka", Leningrad. Otdel., Leningrad, 1979, 103–135; J. Soviet Math., 18:6 (1982), 925–950
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https://www.mathnet.ru/eng/znsl2096 https://www.mathnet.ru/eng/znsl/v82/p103
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Abstract page: | 451 | Full-text PDF : | 227 |
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