Ameya Pitale

activity

20082026

most citedTransfer of Siegel cusp forms of degree 2

29 citations · 107 across the 27 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017

Analytic $L$ -functions: Definitions, Theorems, and Connections

David W. Farmer, Ameya Pitale, Nathan C. Ryan +1

$L$ -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 $GL (n)$ ,…

math.NT2017

Restrictions of Eisenstein series and Rankin-Selberg convolution

Rodney Keaton, Ameya Pitale

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 elliptic modular form…

math.NT2017★ 2 cited

Integral representation and critical $L$ -values for holomorphic forms on $GS p_{2 n} \times G L_{1}$

Ameya Pitale, Abhishek Saha, Ralf Schmidt

We prove an explicit integral representation -- involving the pullback of a suitable Siegel Eisenstein series -- for the twisted standard $L$ -function associated to a holomorphic v…

Analytic L-functions: Definitions, Theorems, and Connections

Restrictions of Eisenstein series and Rankin-Selberg convolution

Integral representation and critical L-values for holomorphic forms on GSp2n​×GL1​

Analytic $L$ -functions: Definitions, Theorems, and Connections

Integral representation and critical $L$ -values for holomorphic forms on $GS p_{2 n} \times G L_{1}$