Karatsuba's method for estimating Kloosterman sums
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 207 (2016) no. 8, pp. 1142-1158
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			Using Karatsuba's method, we obtain estimates for Kloosterman sums modulo a prime, in which the number of terms is less than an arbitrarily small fixed power of the modulus. These bounds refine similar results obtained earlier by Bourgain and Garaev.
Bibliography: 16 titles.
			
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
short Kloosterman sums, Karatsuba's method
Mots-clés : inverse residues.
                    
                  
                
                
                Mots-clés : inverse residues.
@article{SM_2016_207_8_a5,
     author = {M. A. Korolev},
     title = {Karatsuba's method for estimating {Kloosterman} sums},
     journal = {Sbornik. Mathematics},
     pages = {1142--1158},
     publisher = {mathdoc},
     volume = {207},
     number = {8},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_8_a5/}
}
                      
                      
                    M. A. Korolev. Karatsuba's method for estimating Kloosterman sums. Sbornik. Mathematics, Tome 207 (2016) no. 8, pp. 1142-1158. http://geodesic.mathdoc.fr/item/SM_2016_207_8_a5/
