Positive exponential sums, difference sets and recurrence (CROSBI ID 197342)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Slijepčević, Siniša
engleski
Positive exponential sums, difference sets and recurrence
We use the positive exponential sums method (also known as Delsarte’s method) to find explicit upper bounds related to difference set property of sets of integers. Specifically, we find asymptotic upper bounds on the cardinality of a set of integers A so that A − A does not intersect a given set D. We apply it to sets D of perfect squares, sets of values of odd polynomials, and shifted primes p−1. We also develop an ergodic-theoretical interpretation of the bounds.
Positive exponential sums; van der Corput sets; correlative sets; recurrence; difference sets; Fej´er kernel; positive definiteness
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Podaci o izdanju
43
2013.
187-193
objavljeno
1571-0653
10.1016/j.endm.2013.07.031