CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe give a complete characterization of the solutions $F(s)$ of the analog in the Selberg class of Hecke's functional equation of conductor 5, namely [ left(rac{sqrt{5}}{2pi} ight)^s Gamma(s+mu) F(s) = omega left(rac{sqrt{5}}{2pi} ight)^{1-s} Gamma(1-s+overline{mu}) overline{F(1-overline{s})} ] with $Re{mu}geq 0$ and $|omega|=1$. The proof is based on several results from our theory of nonlinear twists of $L$-functions, applied to obtain a full description of the Euler factor of $F(s)$ at $p=2$, and then on some ideas from a 1995 paper by J.B.Conrey and D.W.Farmer on converse theorems for Euler products.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | On a Hecke-type functional equation with conductor q=5 |
| Autori: | |
| Data di pubblicazione: | 2018 |
| Rivista: | |
| Abstract: | We give a complete characterization of the solutions $F(s)$ of the analog in the Selberg class of Hecke's functional equation of conductor 5, namely [ left(rac{sqrt{5}}{2pi} ight)^s Gamma(s+mu) F(s) = omega left(rac{sqrt{5}}{2pi} ight)^{1-s} Gamma(1-s+overline{mu}) overline{F(1-overline{s})} ] with $Re{mu}geq 0$ and $|omega|=1$. The proof is based on several results from our theory of nonlinear twists of $L$-functions, applied to obtain a full description of the Euler factor of $F(s)$ at $p=2$, and then on some ideas from a 1995 paper by J.B.Conrey and D.W.Farmer on converse theorems for Euler products. |
| Handle: | http://hdl.handle.net/11567/913944 |
| Appare nelle tipologie: | 01.01 - Articolo su rivista |
File in questo prodotto:
Copyright © 2019