Abstract
In this paper we generalize some results, obtained by Shimura, on the special values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters. The generalization is to the case of the special values of L-functions of arbitrary base change to CM-number fields of l-adic representations attached to Hilbert modular forms twisted by some finite-dimensional representations.
| Original language | English |
|---|---|
| Pages (from-to) | 57-63 |
| Number of pages | 7 |
| Journal | Glasgow Mathematical Journal |
| Volume | 56 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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On the special values of L-functions of CM-base change for hilbert modular forms. / Virdol, Cristian.
In: Glasgow Mathematical Journal, Vol. 56, No. 1, 01.01.2014, p. 57-63.Research output: Contribution to journal › Article
TY - JOUR
T1 - On the special values of L-functions of CM-base change for hilbert modular forms
AU - Virdol, Cristian
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this paper we generalize some results, obtained by Shimura, on the special values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters. The generalization is to the case of the special values of L-functions of arbitrary base change to CM-number fields of l-adic representations attached to Hilbert modular forms twisted by some finite-dimensional representations.
AB - In this paper we generalize some results, obtained by Shimura, on the special values of L-functions of l-adic representations attached to quadratic CM-base change of Hilbert modular forms twisted by finite order characters. The generalization is to the case of the special values of L-functions of arbitrary base change to CM-number fields of l-adic representations attached to Hilbert modular forms twisted by some finite-dimensional representations.
UR - http://www.scopus.com/inward/record.url?scp=84889873408&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84889873408&partnerID=8YFLogxK
U2 - 10.1017/S0017089513000074
DO - 10.1017/S0017089513000074
M3 - Article
VL - 56
SP - 57
EP - 63
JO - Glasgow Mathematical Journal
JF - Glasgow Mathematical Journal
SN - 0017-0895
IS - 1
ER -