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SUMMARY:Ravi Raghunathan (IIT Bombay)
DTSTART:20200605T110000Z
DTEND:20200605T120000Z
DTSTAMP:20260423T053131Z
UID:NTdL/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTdL/6/">Bey
 ond the Selberg Class: $0\\le d_F\\le 2$</a>\nby Ravi Raghunathan (IIT Bom
 bay) as part of Number theory during lockdown\n\n\nAbstract\nI will define
  a class of Dirichlet series $\\mathfrak{A}^{#}$ which strictly contains t
 he extended Selberg class as well as several $L$-functions (including the 
 tensor product\, symmetric square and exterior square $L$-functions of\nau
 tomorphic representations of $GL_n$. I will describe a number of classific
 ation results which generalise the work of\nKaczorowski and Perelli and pr
 ovide simpler proofs in many cases. Time permitting\, I will discuss some 
 applications concerning the zero sets of $L$ functions. Some of the result
 s have been obtained in collaboration with R. Balasubramanian.\n
LOCATION:https://researchseminars.org/talk/NTdL/6/
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