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picture1_Hard Quadratic Equation Problems Pdf 178539 | Pell Item Download 2023-01-29 16-53-02


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File: Hard Quadratic Equation Problems Pdf 178539 | Pell Item Download 2023-01-29 16-53-02
polynomial time quantum algorithms for pell s equation and the principal ideal problem sean hallgren neclaboratories america inc 4 independence way princeton nj 08540 hallgren nec labs com may 9 ...

icon picture PDF Filetype PDF | Posted on 29 Jan 2023 | 4 years ago

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...Polynomial time quantum algorithms for pell s equation and the principal ideal problem sean hallgren neclaboratories america inc independence way princeton nj nec labs com may abstract we give three problems from computa tional algebraic number theory rst is given a positive non square integer d x dy goal to nd its solutions factoring integers reduces nding of but reduction in other direction not known appears more dicult second solve real quadratic elds this which at least as hard solving one function underlying buchmann williams key exchange system therefore broken by our algorithm finally assuming generalized riemann hypothesis can be used compute class group eld introduction search fundamental computing there great deal interest how changes tractable intractable boundary computation shor discrete log resulted much excitement over potential preliminary version paper appeared stoc work done msri u c berkeley caltech supported part an nsf mathematical sciences postdoctoral fellowship ...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
							
					 
							
						

						
						
						
				

														
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 29 Jan 2023 | 4 years ago
										
										
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Filetype: PDF
										
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												Andy yahya