Ameya Pitale

发表

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

K. Short, Paul S Dasari, Benjamin S Gandomani, 2016, Jornal de Pediatria.

Analytic $L$-functions: Definitions, theorems, and connections

Nathan C. Ryan, D. Farmer, Ameya Pitale, 2017, Bulletin of the American Mathematical Society.

Integral representation for L-functions for GSp(4) x GL(2), II

Ameya Pitale, Ralf Schmidt, 2009, 0908.1611.

Integral representation for L-functions for GSp 4 × GL 2

Ameya Pitale, Ralf Schmidt, 2009 .

Integral Representaion for L-functions for GSp(4)xGL(2)

Ameya Pitale, Ralf Schmidt, 2008, 0807.3522.

Multiplicity one for $L$-functions and applications

Nathan C. Ryan, D. Farmer, Ameya Pitale, 2013, 1305.3972.

Transfer of Siegel Cusp Forms of Degree 2

A. Saha, Ameya Pitale, Ralf Schmidt, 2011, 1106.5611.

Lifting from SL˜(2) to GSpin(1,4)

Ameya Pitale, 2005 .

An explicit construction of non-tempered cusp forms on O(1,8n+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O(1,8n

Hiroaki Narita, Yingkun Li, Ameya Pitale, 2018, Annales mathématiques du Québec.

Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level

A. Saha, Ameya Pitale, Martin J. Dickson, 2015, Journal of the Mathematical Society of Japan.

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

Ameya Pitale, Ralf Schmidt, 2012, 1207.3119.

Restrictions of Eisenstein Series and Rankin-Selberg Convolution

Ameya Pitale, Rodney Keaton, 2017, Documenta Mathematica.

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

Ameya Pitale, Kimball Martin, Daniel File, 2013, 1310.1765.

Simple supercuspidal representations of $\mathrm{GSp}_4$ and test vectors

A. Saha, Ameya Pitale, Ralf Schmidt, 2023, 2302.05148.

Irreducibility criteria for local and global representations

Hiroaki Narita, Ameya Pitale, Ralf Schmidt, 2011, 1105.5169.

Bounds for Rankin-Selberg integrals and quantum unique ergodicity for powerful levels

Paul D. Nelson, A. Saha, Ameya Pitale, 2012, 1205.5534.

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

Ameya Pitale, Ralf Schmidt, 2008 .

Local and global Maass relations

A. Saha, Ameya Pitale, Ralf Schmidt, 2017 .

Mathematische Zeitschrift Local and global Maass relations

A. Saha, Ameya Pitale, Ralf Schmidt, 2017 .

Local and global Maass relations (expanded version)

A. Saha, Ameya Pitale, Ralf Schmidt, 2014, 1401.3597.

N T ] 2 4 Ja n 20 14 Local and global Maass relations ( expanded version )

A. Saha, Ameya Pitale, Ralf Schmidt, 2014 .

Characterizations of the Saito-Kurokawa lifting: a survey

Nathan C. Ryan, D. Farmer, Ameya Pitale, 2013, 1306.0068.

Ramanujan-type results for Siegel cusp forms of degree 2

Ameya Pitale, Ralf Schmidt, 2009 .

On the standard L-function for $$\mathrm{GSp}_{2n} \times \mathrm{GL}_1$$ GSp 2 n

A. Saha, Ameya Pitale, Ralf Schmidt, 2020 .

On the standard L-function for $$\mathrm{GSp}_{2n} \times \mathrm{GL}_1$$ and algebraicity of symmetric fourth L-values for $$\mathrm{GL}_2$$

A. Saha, Ameya Pitale, Ralf Schmidt, 2018, Annales mathématiques du Québec.

The special values of the standard $L$-functions for $\mathrm{GSp}_{2n} \times \mathrm{GL}_1$

Abhishek Saha, Ralf Schmidt, Shuji Horinaga, 2021, 2102.03100.

Lowest weight modules of Sp4(R) and nearly holomorphic Siegel modular forms

A. Saha, Ameya Pitale, Ralf Schmidt, 2015, Kyoto Journal of Mathematics.

REPRESENTATIONS OF SL₂(ℝ) AND NEARLY HOLOMORPHIC MODULAR FORMS (Modular forms and automorphic representations)

A. Saha, Ameya Pitale, Ralf Schmidt, 2015 .

Representations of SL_2(R) and nearly holomorphic modular forms

A. Saha, Ameya Pitale, Ralf Schmidt, 2015, 1501.00525.

Bessel models for lowest weight representations of GSp(4,R)

Ameya Pitale, Ralf Schmidt, 2008, 0809.0482.

An explicit lifting construction of CAP forms on O(1,5)

Ameya Pitale, Siddhesh Wagh, Hiroyuki Narita, 2022, International Journal of Number Theory.

Bessel Models for Lowest Weight Representations of

Ameya Pitale, Ralf Schmidt, 2009 .

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

Ameya Pitale, 2009, 0909.4273.

Bessel models and L-functions for the Steinberg representation of GSp 4

Ameya Pitale, 2009 .

Examples

Ameya Pitale, 2019, Siegel Modular Forms.

Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series

A. Saha, Ameya Pitale, Ralf Schmidt, 2019, 1912.08730.

Special values of L-functions for Saito–Kurokawa lifts

Jim Brown, Ameya Pitale, 2013, Mathematical Proceedings of the Cambridge Philosophical Society.

Classical interpretation of the Ramanujan conjecture for Siegel cusp forms of genus n

Ameya Pitale, 2009 .

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

K. Short, Paul S Dasari, Benjamin S Gandomani, 2016, The Journal of pediatrics.