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Let $\pi$ be the automorphic representation of $\GSp_4(\A)$ generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and $\tau$ be an arbitrary cuspidal, automorphic… (More)

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 and… (More)

- Ameya Pitale, Ralf Schmidt
- 2008

Let pi be a cuspidal, automorphic representation of GSp(4) attached to a Siegel modular form of degree 2. We refine the method of Furusawa to obtain an integral representation for the degree-8… (More)

There are a variety of characterizations of Saito-Kurokawa lifts from elliptic modular forms to Siegel modular forms of degree 2. In addition to giving a survey of known characterizations, we apply a… (More)

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 relations… (More)

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 certain… (More)

- Ameya Pitale, Ralf Schmidt
- 2008

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 for… (More)

- Ameya Pitale, Ralf Schmidt
- 2009

Let π be a cuspidal, automorphic representation of GSp4 attached to a Siegel modular form of degree 2. We refine the method of Furusawa [M. Furusawa, On L-functions for GSp(4)×GL(2) and their special… (More)

- Ameya Pitale
- 2009

We obtain explicit formulas for the test vector in the Bessel model and derive the criteria for existence and uniqueness for Bessel models for the unramified, quadratic twists of the Steinberg… (More)

- Paul S. Dasari, Benjamin S Gandomani, April M. Teague, Ameya Pitale, Michael Otto, Kevin R Short
- The Journal of pediatrics
- 2016

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 in… (More)