Fourier analysis in combinatorial number theory

2010 ◽  
Vol 65 (3) ◽  
pp. 513-567 ◽  
Author(s):  
Il'ya D Shkredov
2012 ◽  
Vol 9 (4) ◽  
pp. 2985-3059
Author(s):  
Vitaly Bergelson ◽  
Nikos Frantzikinakis ◽  
Terence Tao ◽  
Tamar Ziegler

1966 ◽  
Vol 27 (1) ◽  
pp. 55-59
Author(s):  
Tikao Tatuzawa

There are many uses of Fourier analysis in the analytic number theory. In this paper we shall derive two fundamental theorems using Cramer’s method (Mathematical methods of statistics, 1946). Let E, E* be unit cubes in the whole n-dimensional Euclidean space X such that


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