Exponential sums over primes and the prime twin problem

2010 ◽  
Vol 131 (1-2) ◽  
pp. 46-58
Author(s):  
Yvonne Buttkewitz
Keyword(s):  
Exponential Sums ◽  
Exponential Sums Over Primes

Short cubic exponential sums over primes

2017 ◽  
Vol 296 (1) ◽  
pp. 211-233
Author(s):  
Z. Kh. Rakhmonov ◽  
F. Z. Rakhmonov
Keyword(s):  
Exponential Sums ◽  
Exponential Sums Over Primes

scholarly journals On certain exponential sums over primes

2009 ◽  
Vol 129 (7) ◽  
pp. 1669-1677 ◽  
Author(s):  
H. Maier ◽  
A. Sankaranarayanan
Keyword(s):  
Exponential Sums ◽  
Exponential Sums Over Primes

EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES

2010 ◽  
Vol 06 (04) ◽  
pp. 905-918 ◽  
Author(s):  
H. MAIER ◽  
A. SANKARANARAYANAN
Keyword(s):  
Exponential Sums ◽  
Complex Numbers ◽  
Exponential Sums Over Primes ◽  
Residue Classes ◽  
Special Cases

We specialize a problem studied by Elliott, the behavior of arbitrary sequences ap of complex numbers on residue classes to prime moduli to the case ap = e(αp). For these special cases, we obtain under certain additional conditions improvements on Elliott's results.

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