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Publications Influence

Test vectors and central L-values for GL(2) (Automorphic Forms and Related Zeta Functions)

- Daniel File, Kimball Martin, Ameya Pitale
- Mathematics
- 7 October 2013

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… Expand

20 5- PDF

Jacobi Maaß forms

- Ameya Pitale
- Mathematics
- 8 January 2009

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 differential… Expand

24 4- PDF

Transfer of Siegel Cusp Forms of Degree 2

- Ameya Pitale, A. Saha, R. Schmidt
- Mathematics
- 28 June 2011

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

33 2- PDF

Local and global Maass relations

- Ameya Pitale, A. Saha, R. Schmidt
- Mathematics
- 9 January 2017

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… Expand

4 2- PDF

Glycemic Variability Is Associated with Markers of Vascular Stress in Adolescents.

- Paul S Dasari, Benjamin S Gandomani, A. Teague, Ameya Pitale, M. Otto, K. R. Short
- Medicine
- The Journal of pediatrics
- 1 May 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… Expand

16 1- PDF

Representations of SL_2(R) and nearly holomorphic modular forms

- Ameya Pitale, A. Saha, R. Schmidt
- Mathematics
- 3 January 2015

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 that… Expand

3 1- PDF

SIGN CHANGES OF HECKE EIGENVALUES OF SIEGEL CUSP FORMS OF DEGREE 2

- Ameya Pitale, R. Schmidt
- Mathematics
- 2 June 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… Expand

13 1- PDF

Lowest weight modules of Sp_4(R) and nearly holomorphic Siegel modular forms

- Ameya Pitale, A. Saha, R. Schmidt
- Mathematics
- 3 January 2015

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… Expand

22 1- PDF

Steinberg representation of GSp(4): Bessel models and integral representation of L-functions

- Ameya Pitale
- Mathematics
- 23 September 2009

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 Steinberg… Expand

10 1- PDF

Bessel models for GSp(4): Siegel vectors of square-free level

- Ameya Pitale, R. Schmidt
- Mathematics
- 12 July 2012

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 Siegel… Expand

6 1- PDF