On a new class of Laguerre–Pólya type functions with applications in number theory
On a new class of Laguerre–Pólya type functions with applications in number theory
We define a new class of functions, connected to the classical Laguerre-Pólya class, which we call the shifted Laguerre-Pólya class.Recent work of Griffin, Ono, Rolen, and Zagier shows that the Riemann Xi function is in this class.We prove that a function being in this class is equivalent to its Taylor …