An additive property of almost periodic sets
Copyright policy )An additive property of almost periodic sets
We show that a set is almost periodic if and only if the associated exponential sum is concentrated in the minor arcs. Hence binary additive problems involving almost periodic sets can be solved using the circle method.
- University of Freiburg Germany
Fourier series of arithmetical functions, mean-value problems, Mathematics - Number Theory, 11K70, extremal sets of integers, binary additive problems, Arithmetic functions; related numbers; inversion formulas, trigonometric polynomials, multiplicative arithmetical function, Fourier coefficients, Harmonic analysis and almost periodicity in probabilistic number theory, theorem of Elliott-Daboussi, Applications of the Hardy-Littlewood method, circle method, almost periodic arithmetical functions, minor arcs, FOS: Mathematics, Number Theory (math.NT), conjecture of Brüdern
Fourier series of arithmetical functions, mean-value problems, Mathematics - Number Theory, 11K70, extremal sets of integers, binary additive problems, Arithmetic functions; related numbers; inversion formulas, trigonometric polynomials, multiplicative arithmetical function, Fourier coefficients, Harmonic analysis and almost periodicity in probabilistic number theory, theorem of Elliott-Daboussi, Applications of the Hardy-Littlewood method, circle method, almost periodic arithmetical functions, minor arcs, FOS: Mathematics, Number Theory (math.NT), conjecture of Brüdern
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