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Title of Journal: Ramanujan J

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Abbravation: The Ramanujan Journal

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Springer US

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DOI

10.1007/s00267-015-0647-1

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1572-9303

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On the effective determination of Maass cusp forms

Authors: Qinghua Pi
Publish Date: 2014/03/05
Volume: 35, Issue: 2, Pages: 299-310
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Abstract

Let f be a Hecke–Maass cusp form of Laplace eigenvalue 1/4+μ 2 with μ≤Λ for mathitSL 2mathbbZ We show that f is uniquely determined by the central values of Rankin–Selberg Lfunctions Lsf⊗g where g runs over the set of holomorphic cusp forms of weight k≍ ϵ Λ 1+3θ+ϵ for any ϵ0 for mathitSL 2mathbbZ

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Other Papers In This Journal:
  1. Representations of integers by certain positive definite binary quadratic forms
  2. Extensions of Vietoris’s inequalities I
  3. Polyharmonic Maass forms for $$\text {PSL}(2,{\mathbb Z})$$
  4. The generalized lucky ticket problem, perfect matchings, and closure relations satisfied by the Chebyshev and $$$$-Hermite polynomials
  5. Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers
  6. A numerical study on exceptional eigenvalues of certain congruence subgroups of $$\mathrm {SO}(n,1)$$ and $$\mathrm {SU}(n,1)$$SU(n,1)
  7. Differential operators, shifted parts, and hook lengths
  8. An overpartition analogue of the q -binomial coefficients
  9. $$$$ WP-Bailey tree
  10. A central limit theorem for Ramanujan’s tau function
  11. Generators and relations of the graded algebra of modular forms
  12. Eisenstein series and Ramanujan-type series for 1/ π
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