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• W1887758427 abstract "We extend our result on the convergence of double recurrence Wiener-Wintner averages to the case where we have a polynomial exponent. We will show that there exists a single set of full measure for which the averages [ frac{1}{N} sum_{n=1}^N f_1(T^{an}x)f_2(T^{bn}x)phi(p(n)) ] converge for any polynomial $p$ with real coefficients, and any continuous function $phi$ from the torus to the set of complex numbers . We also show that if either function belongs to an orthogonal complement of an appropriate Host-Kra-Ziegler factor that depends on the degree of the polynomial $p$, then the averages converge to zero uniformly for all polynomials. This paper combines the authors' previously announced work." @default.
• W1887758427 created "2016-06-24" @default.
• W1887758427 creator A5013885271 @default.
• W1887758427 creator A5037738183 @default.
• W1887758427 date "2014-08-25" @default.
• W1887758427 modified "2023-09-27" @default.
• W1887758427 title "Extension of Wiener-Wintner double recurrence theorem to polynomials" @default.
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• W1887758427 hasPublicationYear "2014" @default.
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