Details
| Original language | English |
|---|---|
| Pages (from-to) | 187-205 |
| Number of pages | 19 |
| Journal | Ramanujan Journal |
| Volume | 19 |
| Issue number | 2 |
| Publication status | Published - Jul 2009 |
| Externally published | Yes |
Abstract
Keywords
- Complex multiplication, Hecke character, Modular form
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Ramanujan Journal, Vol. 19, No. 2, 07.2009, p. 187-205.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - CM newforms with rational coefficients
AU - Schütt, Matthias
N1 - Funding information: I am indepted to K. Hulek for his continuous interest and encouragement. Partial support by the DFG Schwerpunkt 1094 “Globale Methoden in der komplexen Geometrie” is gratefully acknowledged. My thanks go also to the referee for helpful comments. Part of the revising took place while I enjoyed the hospitality of the Dipartimento di Matematica “Frederico Enriques” of Milano University. Funding from the network Arithmetic Algebraic Geometry, a Marie Curie Research Training Network, is gratefully acknowledged. I particularly thank M. Bertolini and B. van Geemen. The final version was prepared while I was funded by DFG under grant Schu 2266/2-2.
PY - 2009/7
Y1 - 2009/7
N2 - We classify newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. Under the extended Riemann hypothesis for odd real Dirichlet characters, these newforms are finite in number. We produce tables for weights 3 and 4, where finiteness holds unconditionally.
AB - We classify newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. Under the extended Riemann hypothesis for odd real Dirichlet characters, these newforms are finite in number. We produce tables for weights 3 and 4, where finiteness holds unconditionally.
KW - Complex multiplication
KW - Hecke character
KW - Modular form
UR - http://www.scopus.com/inward/record.url?scp=67949089623&partnerID=8YFLogxK
UR - https://arxiv.org/abs/math/0511228
U2 - 10.1007/s11139-008-9147-8
DO - 10.1007/s11139-008-9147-8
M3 - Article
AN - SCOPUS:67949089623
VL - 19
SP - 187
EP - 205
JO - Ramanujan Journal
JF - Ramanujan Journal
SN - 1382-4090
IS - 2
ER -