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Test vectors and central L-values for GL(2) (Automorphic Forms and Related Zeta Functions)
We determine local test vectors for Waldspurger functionals for GL2, in the case where both the representation of GL2 and the character of the degree two extension are ramied, with certainExpand
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Jacobi Maaß forms
AbstractIn this paper, we give a new definition for the space of non-holomorphic Jacobi Maaß forms (denoted by Jk,mnh) of weight k∈ℤ and index m∈ℕ as eigenfunctions of a degree three differentialExpand
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Transfer of Siegel Cusp Forms of Degree 2
Introduction Notation Distinguished vectors in local representations Global L-functions for GSp? X GL? The pullback formula Holomorphy of global L-functions for GSp? X GL? Applications Bibliography
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Local and global Maass relations
We characterize the irreducible, admissible, spherical representations of $$\mathrm{GSp}_4(F)$$GSp4(F) (where F is a p-adic field) that occur in certain CAP representations in terms of relationsExpand
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Glycemic Variability Is Associated with Markers of Vascular Stress in Adolescents.
OBJECTIVES We used continuous glucose monitoring to test the hypothesis that mean amplitude of glycemic excursions (MAGE) is associated with circulating markers of oxidative and vascular stress inExpand
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Representations of SL_2(R) and nearly holomorphic modular forms
In this semi-expository note, we give a new proof of a structure theorem due to Shimura for nearly holomorphic modular forms on the complex upper half plane. Roughly speaking, the theorem says thatExpand
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SIGN CHANGES OF HECKE EIGENVALUES OF SIEGEL CUSP FORMS OF DEGREE 2
Let μ(n), n > 0, be the sequence of Hecke eigenvalues of a cuspidal Siegel eigenform F of degree 2. It is proved that if F is not in the Maaβ space, then there exist infinitely many primes p forExpand
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Lowest weight modules of Sp_4(R) and nearly holomorphic Siegel modular forms
We undertake a detailed study of the lowest weight modules for the Hermitian symmetric pair (G,K), where G=Sp_4(R) and K is its maximal compact subgroup. In particular, we determine K-types andExpand
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Steinberg representation of GSp(4): Bessel models and integral representation of L-functions
We obtain explicit formulas for the test vector in the Bessel model, and derive the criteria for existence and uniqueness of Bessel models for the unramified quadratic twists of the SteinbergExpand
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Bessel models for GSp(4): Siegel vectors of square-free level
We determine test vectors and explicit formulas for all Bessel models for those Iwahori-spherical representations of GSp(4) over a p-adic field that have non-zero vectors fixed under the SiegelExpand
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