Search Results - "Pitale, Ameya"

Restrictions of Eisenstein Series and Rankin-Selberg Convolution by Keaton, Rodney, Pitale, Ameya

“…In a 2005 paper, Yang constructed families of Hilbert Eisenstein series, which when restricted to the diagonal are conjectured to span the underlying space of…”
Get full text

Glycemic Variability Is Associated with Markers of Vascular Stress in Adolescents by Dasari, Paul S., MD, Gandomani, Benjamin S., BS, Teague, April M., MS, Pitale, Ameya, PhD, Otto, Michael, PhD, Short, Kevin R., PhD

“…Objectives We used continuous glucose monitoring to test the hypothesis that mean amplitude of glycemic excursions (MAGE) is associated with circulating…”
Get full text

Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels by NELSON, PAUL D., PITALE, AMEYA, SAHA, ABHISHEK

“…We compare the difficulty of such equidistribution problems to that of corresponding subconvexity problems by deriving explicit extensions of Watson's formula…”
Get full text

An explicit construction of non-tempered cusp forms on O(1,8n+1) by Li, Yingkun, Narita, Hiro-aki, Pitale, Ameya

“…We explicitly construct non-holomorphic cusp forms on the orthogonal group of signature ( 1 , 8 n + 1 ) for an arbitrary natural number n as liftings from…”
Get full text

Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2 by Pitale, Ameya, Schmidt, Ralf

“…Let \mu (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 Maa{ß} space, then…”
Get full text

Irreducibility criteria for local and global representations by NARITA, HIRO-AKI, PITALE, AMEYA, SCHMIDT, RALF

“…It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean…”
Get full text

Analytic L-functions: Definitions, theorems, and connections by Farmer, David W., Pitale, Ameya, Ryan, Nathan C., Schmidt, Ralf

“…L-functions can be viewed axiomatically, such as in the formulation due to Selberg, or they can be seen as arising from cuspidal automorphic representations of…”
Get full text

Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series by Pitale, Ameya, Saha, Abhishek, Schmidt, Ralf

Get full text

STEINBERG REPRESENTATION OF GSp(4): BESSEL MODELS AND INTEGRAL REPRESENTATION OF L-FUNCTIONS by PITALE, Ameya

Get full text

Local and global Maass relations by Pitale, Ameya, Saha, Abhishek, Schmidt, Ralf

“…We characterize the irreducible, admissible, spherical representations of GSp 4 ( F ) (where F is a p -adic field) that occur in certain CAP representations in…”
Get full text

Bessel models for GSp(4): Siegel vectors of square-free level by Pitale, Ameya, Schmidt, Ralf

“…We determine test vectors and explicit formulas for all Bessel models for those Iwahori-spherical representations of GSp4 over a p-adic field that have…”
Get full text

On the standard L-function for $$\mathrm{GSp}_{2n} \times \mathrm{GL}_1$$ and algebraicity of symmetric fourth L-values for $$\mathrm{GL}_2 by Pitale, Ameya, Saha, Abhishek, Schmidt, Ralf

“…We prove an explicit integral representation—involving the pullback of a suitable Siegel Eisenstein series—for the twisted standard L -function associated to a…”
Get full text

On the standard L-function for GSp2n×GL1 and algebraicity of symmetric fourth L-values for GL2 by Pitale, Ameya, Saha, Abhishek, Schmidt, Ralf

“…We prove an explicit integral representation—involving the pullback of a suitable Siegel Eisenstein series—for the twisted standard L -function associated to a…”
Get full text

Jacobi Maaß forms by Pitale, Ameya

“…In this paper, we give a new definition for the space of non-holomorphic Jacobi Maaß forms (denoted by J k , m nh ) of weight k ∈ℤ and index m ∈ℕ as…”
Get full text

Classical interpretation of the Ramanujan conjecture for Siegel cusp forms of genus n by Pitale, Ameya

“…We obtain a classical interpretation of the representation theoretic statement of the Generalized Ramanujan Conjecture for Siegel cusp forms of genus n in…”
Get full text

Integral representation for L-functions for GSp 4 × GL 2 by Pitale, Ameya, Schmidt, Ralf

“…Let π be a cuspidal, automorphic representation of GSp 4 attached to a Siegel modular form of degree 2. We refine the method of Furusawa [M. Furusawa, On…”
Get full text

Lifting from SL˜(2) to GSpin(1,4) by Pitale, Ameya

“…We construct liftings of automorphic forms from the metaplectic group SL˜2 to GSpin(1,4) using the Maaß converse theorem. In order to prove the non-vanishing…”
Get full text

Petersson norms of Borcherds theta lifts to O(1, 8n+1) with applications to injectivity and sup-norm bounds by Marshall, Simon, Narita, Hiroaki, Pitale, Ameya

“…We give an explicit formula for the Petersson norms of theta lifts from Maass cusp forms of level one to cusp forms on orthogonal groups O(1,8n+1). Our formula…”
Get full text

SURVEY ARTICLE: CHARACTERIZATIONS OF THE SAITO-KUROKAWA LIFTING by FARMER, DAVID W., PITALE, AMEYA, RYAN, NATHAN C., SCHMIDT, RALF

“…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…”
Get full text

Simple supercuspidal representations of $\mathrm{GSp}_4$ and test vectors by Pitale, Ameya, Saha, Abhishek, Schmidt, Ralf

“…We consider simple supercuspidal representations of $\mathrm{GSp}_4$ over a $p$-adic field and show that they have conductor exponent 5. We study (paramodular)…”
Get full text