Abstract
In [K] Kuznetsov proved a beautiful formula that gives a very explicit relationship between the Fourier coefficients of square integrable automorphic forms of weight 0 for the modular group, and Kloosterman sums (see also [Br1], [Br2]). In particular, Kuznetsov applied his formula to prove an important estimate on the average of Kloosterman sums (cf. [K], Theorem 3). The purpose of this note is to report on recent work (cf. [MW2], [MW3]) on generalizations of the formula to the case when Γ is a nonuniform, irreducible lattice in a product of semisimple R-rank one groups (see also [CPS]).
Partially supported by CONICET and CONICOR, Argentina and ICTP, Italy.
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© 1992 Birkhäuser Boston
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Miatello, R.J. (1992). Kuznetsov Formulas. In: Tirao, J., Wallach, N.R. (eds) New Developments in Lie Theory and Their Applications. Progress in Mathematics, vol 105. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2978-0_8
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