On sign changes of eigenvalues of Siegel cusp forms of genus 2 in prime powers
Tom 183 / 2018
                    
                    
                        Acta Arithmetica 183 (2018), 167-172                    
                                        
                        MSC: Primary 11F46.                    
                                        
                        DOI: 10.4064/aa170419-4-11                    
                                            
                            Opublikowany online: 23 March 2018                        
                                    
                                                Streszczenie
We prove that under mild assumptions there are infinitely many sign changes in the sequence of eigenvalues of a genus $2$ Siegel cuspidal eigenform supported on $p^{jn}$ for a fixed $j \geq 1$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            