We prove the linear independence of the L-functions, and of their derivatives of any order, in a large class l defined axiomatically. Such a class contains in particular the Selberg class as well as the Artin and the automorphic L-functions. Moreover, l is a multiplicative group, and hence our result also proves the linear independence of the inverses of such L-functions.
Linear independence of L-functions / J. Kaczorowski, G. Molteni, A. Perelli. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - 18:1(2006 Jan), pp. 1-7. [10.1515/FORUM.2006.001]
Linear independence of L-functions
G. MolteniSecondo
;
2006
Abstract
We prove the linear independence of the L-functions, and of their derivatives of any order, in a large class l defined axiomatically. Such a class contains in particular the Selberg class as well as the Artin and the automorphic L-functions. Moreover, l is a multiplicative group, and hence our result also proves the linear independence of the inverses of such L-functions.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
molteni-linear independence.pdf
solo utenti autorizzati
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
211.74 kB
Formato
Adobe PDF
|
211.74 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
10.1515_forum.2006.001.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
76.1 kB
Formato
Adobe PDF
|
76.1 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
