We first prove an extension of the Bourgain-Sarnak-Ziegler theorem, relaxing some conditions and giving quantitative estimates. Then we apply our extension to bound certain exponential sums, where the coefficients come from modular forms and the exponential involves polynomial sequences of any degree.
An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications / Mattia, Cafferata; Alberto, Perelli; Zaccagnini, Alessandro. - In: QUARTERLY JOURNAL OF MATHEMATICS. - ISSN 0033-5606. - 71:1(2020), pp. 359-377. [10.1093/qmathj/haz048]
An extension of the Bourgain-Sarnak-Ziegler theorem with modular applications
Alessandro Zaccagnini
2020-01-01
Abstract
We first prove an extension of the Bourgain-Sarnak-Ziegler theorem, relaxing some conditions and giving quantitative estimates. Then we apply our extension to bound certain exponential sums, where the coefficients come from modular forms and the exponential involves polynomial sequences of any degree.File in questo prodotto:
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