Fundamental Lemma of Sieve Theory
                        
                            GPTKB entity
                        
                    
                Statements (22)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            gptkb:Eratosthenes_sieve
                                        
                                         gptkb:Selberg_sieve gptkb:Brun_sieve upper and lower bound sieves  | 
                            
| gptkbp:citation | 
                                    
                                        
                                            
                                            Halberstam and Richert, Sieve Methods (1974)
                                        
                                        
                                         Montgomery and Vaughan, Multiplicative Number Theory I: Classical Theory (2007) Tenenbaum, Introduction to Analytic and Probabilistic Number Theory  | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            approximation of sifted sets
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            number theory
                                        
                                        
                                         sieve theory  | 
                            
| gptkbp:formedBy | 
                                    
                                        
                                            gptkb:Atle_Selberg
                                        
                                         1947  | 
                            
| gptkbp:provides | 
                                    
                                        
                                            
                                            error term estimates
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Goldbach_conjecture
                                        
                                         gptkb:twin_prime_conjecture distribution of prime numbers  | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            analytic number theory
                                        
                                        
                                         combinatorial sieve methods  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Sieve_Methods
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Fundamental Lemma of Sieve Theory
                                        
                                        
                                         |