Metric Theory of Diophantine Approximations
                        
                            GPTKB entity
                        
                    
                Statements (15)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:logic
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            real numbers
                                        
                                        
                                         higher-dimensional spaces  | 
                            
| gptkbp:concerns | 
                                    
                                        
                                            
                                            approximation of real numbers by rationals
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            number theory
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Diophantine_approximation
                                        
                                         gptkb:Khintchine's_theorem gptkb:Jarník–Besicovitch_theorem  | 
                            
| gptkbp:studies | 
                                    
                                        
                                            
                                            measure-theoretic properties of Diophantine approximation
                                        
                                        
                                         Lebesgue measure of sets of well-approximable numbers  | 
                            
| gptkbp:uses | 
                                    
                                        
                                            gptkb:probability_theory
                                        
                                         measure theory  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:V._G._Sprindzuk
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Metric Theory of Diophantine Approximations
                                        
                                        
                                         |