L-functions of Second-order Cusp Forms

  title={L-functions of Second-order Cusp Forms},
  author={Nikolaos Diamantis and Michael Knopp and George Mason and Catherine O’Sullivan}
The study of second-order modular forms has been initiated in connection with percolation theory ([KZ]) and Eisenstein series formed with modular symbols (cf. [CDO]). More recently, second-order modular forms have appeared in research on converse theorems. Specifically, the pursuit of converse theorems for L-functions requiring the minimum number of twists possible has been a long-standing project of great interest. One of the approaches, due to B. Conrey and D. Farmer, has been successful in… CONTINUE READING

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