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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1979 Volume 82, Pages 103–135 (Mi znsl2096)

This article is cited 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 $G=SL_2(\mathbf Z)$, $\chi=1$.

UDC: 511.334


 English version:
Journal of Soviet Mathematics, 1982, 18:6, 925–950

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© Steklov Math. Inst. of RAS, 2025