Trace formulae and applications to class numbers

Nicole Raulf

Displaying similar documents to “Trace formulae and applications to class numbers”

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Hiroshi Saito (1976-1977)

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Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.

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W. Kohnen, J. Sengupta (2001)

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On effective determination of symmetric-square lifts

Qingfeng Sun (2014)

Open Mathematics

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Let F be the symmetric-square lift with Laplace eigenvalue λ F (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.

Distinguishing Hecke eigenvalues of primitive cusp forms

J. Sengupta (2004)

Acta Arithmetica

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Examples of Eigenvalues of Hecke Operators on Siegel Cusp Forms of Degree Two.

Nobushige Kurokawa (1978)

Inventiones mathematicae

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Heights and the central critical values of triple product $L$ -functions

Benedict H. Gross, Stephen S. Kudla (1992)

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