| Naslov: | A Fourier–Jacobi Dirichlet series for cusp forms on orthogonal groups |
|---|
| Avtorji: | ID Psyroukis, Rafail (Avtor) |
|---|
| Datoteke: |  RAZ_Psyroukis_Rafail_2025.pdf (575,52 KB)
MD5: 6D78D08B6D41522B6C7613D839B440D9
 https://link.springer.com/article/10.1007/s40993-025-00668-0
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Članek v reviji |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FAMNIT - Fakulteta za matematiko, naravoslovje in informacijske tehnologije
|
|---|
| Opis: | We investigate a Dirichlet series involving the Fourier-Jacobi coefficients of two cusp forms (F,G) for orthogonal groups of signature ((2,n+2)). In the case when (F) is a Hecke eigenform and (G) is a Maass lift of a Poincaré series, we establish a connection with the standard (L)-function attached to (F). What is more, we find explicit choices of orthogonal groups, for which we obtain a clear-cut Euler product expression for this Dirichlet series. Through our considerations, we recover a classical result for Siegel modular forms, first introduced by Kohnen and Skoruppa, but also provide a range of new examples, which can be related to other kinds of modular forms, such as paramodular, Hermitian, and quaternionic. |
|---|
| Ključne besede: | orthogonal modular forms, Fourier-Jacobi forms, L-functions |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 19.09.2025 |
|---|
| Leto izida: | 2025 |
|---|
| Št. strani: | str. 1-38 |
|---|
| Številčenje: | Vol. 11, article no. 90 |
|---|
| PID: | 20.500.12556/RUP-23687  |
|---|
| UDK: | 51 |
|---|
| ISSN pri članku: | 0925-9899 |
|---|
| DOI: | 10.1007/s40993-025-00668-0 |
|---|
| COBISS.SI-ID: | 292547587 |
|---|
| Datum objave v RUP: | 25.09.2026 |
|---|
| Število ogledov: | 225 |
|---|
| Število prenosov: | 7 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
