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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
haz048-finale.pdf
non disponibili
Tipologia:
Versione (PDF) editoriale
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
241.55 kB
Formato
Adobe PDF
|
241.55 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
104-Zaccagnini-haz048c_review.pdf
accesso aperto
Licenza:
Creative commons
Dimensione
375.77 kB
Formato
Adobe PDF
|
375.77 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
