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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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DOI

10.1007/s10499-009-9274-2

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1432-1823

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On characteristic twists of multiple Dirichlet ser

Authors: Özlem Imamōlu Yves Martin
Publish Date: 2008/09/30
Volume: 263, Issue: 2, Pages: 345-368
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Abstract

We define a twisted two complex variables RankinSelberg convolution of Siegel cusp forms of degree 2 We find its group of functional equations and prove its analytic continuation to mathbbC2 As an application we obtain a nonvanishing result for special values of the Fourier Jacobi coefficients We also prove the analytic properties for the characteristic twists of convolutions of Jacobi cusp forms

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  2. Stable reduction of curves and tame ramification
  3. Constant mean curvature graphs on exterior domains of the hyperbolic plane
  4. On weighted critical imbeddings of Sobolev spaces
  5. Mixed Hessian inequalities and uniqueness in the class $$\mathcal {E}(X,\omega ,m)$$
  6. Generalized Liouville differentiation, truncated hypersingular integrals and K -functionals
  7. Polynomial inequalities and universal Taylor series
  8. Computations of the orbifold Yamabe invariant
  9. Grušin operators, Riesz transforms and nilpotent Lie groups
  10. Real K 3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Φ-function
  11. Positive semidefinite diagonal minus tail forms are sums of squares
  12. On the measures of large entropy on a positive closed current
  13. Fano varieties in index one Fano complete intersections
  14. Families over special base manifolds and a conjecture of Campana
  15. On the holomorphic structure of G -orbits in compact hermitian symmetric spaces
  16. Derivations, the Lawrence–Sullivan interval and the Fiorenza–Manetti mapping cone
  17. On the geometry of model almost complex manifolds with boundary
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  19. Injectivity radius and diameter of the manifolds of flags in the projective planes
  20. On the invariant distributions of $$C^2$$ circle diffeomorphisms of irrational rotation number
  21. On Hörmander’s solution of the $$\bar{\partial }$$-equation. I
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  23. Harmonic maps of finite uniton number into G 2
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  25. Self-similar solutions for the Schrödinger map equation
  26. Harmonicity of sections of sphere bundles
  27. Cluster categories of type $${\mathbb {A}}_\infty ^\infty $$ and triangulations of the infinite strip
  28. A lower bound on Seshadri constants of hyperplane bundles on threefolds
  29. Saturated fusion systems over $$\mathcal {A}_2$$-groups
  30. Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature
  31. On newforms for Kohnen plus spaces
  32. Cumulants in noncommutative probability theory I. Noncommutative exchangeability systems
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  34. Distributional chaos for operators with full scrambled sets
  35. Packing dimension and Ahlfors regularity of porous sets in metric spaces
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  41. Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups
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