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math.NT2017
Analytic -functions: Definitions, Theorems, and Connections
David W. Farmer, Ameya Pitale, Nathan C. Ryan +1
-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 ,…
math.NT2017★ 2 cited
Integral representation and critical -values for holomorphic forms on
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 -function associated to a holomorphic v…