Summation formulas for general Kloosterman sums
Copyright policy )Summation formulas for general Kloosterman sums
N. V. Kuznetsov's summation formula is generalized to the case of a discrete subgroup G⊂SL2(ℝ) and a system of multiplicators χ, satisfying certain not too restrictive conditions. In the arithmetic cases, when G is a congruence-subgroup in SL2(ℤ), these conditions are satisfied. N. V. Kuznetsov's formula has been proved for the case G=SL2(ℤ)., χ=1.
real analytic automorphic forms, Laplace operator, Eisenstein series, spectral decomposition, sum formulas, Fourier coefficients, Automorphic forms, one variable, Trigonometric and exponential sums (general theory), Fuchsian group of first kind, Kloosterman sums
real analytic automorphic forms, Laplace operator, Eisenstein series, spectral decomposition, sum formulas, Fourier coefficients, Automorphic forms, one variable, Trigonometric and exponential sums (general theory), Fuchsian group of first kind, Kloosterman sums
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