Abstract
In this paper we generalize some results, obtained by Shimura, Yoshida and the author, on critical values of L-functions of l-adic representations attached to Hilbert modular forms twisted by finite order characters, to the critical values of L-functions of arbitrary base change to totally real number fields of l-adic representations attached to Hilbert modular forms twisted by some finite-dimensional representations.
| Original language | English |
|---|---|
| Pages (from-to) | 7-13 |
| Number of pages | 7 |
| Journal | Functiones et Approximatio, Commentarii Mathematici |
| Volume | 47 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2012 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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On the critical values of L-functions of base change for Hilbert modular forms II. / Virdol, Cristian.
In: Functiones et Approximatio, Commentarii Mathematici, Vol. 47, No. 1, 01.01.2012, p. 7-13.Research output: Contribution to journal › Article
TY - JOUR
T1 - On the critical values of L-functions of base change for Hilbert modular forms II
AU - Virdol, Cristian
PY - 2012/1/1
Y1 - 2012/1/1
N2 - In this paper we generalize some results, obtained by Shimura, Yoshida and the author, on critical values of L-functions of l-adic representations attached to Hilbert modular forms twisted by finite order characters, to the critical values of L-functions of arbitrary base change to totally real 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, Yoshida and the author, on critical values of L-functions of l-adic representations attached to Hilbert modular forms twisted by finite order characters, to the critical values of L-functions of arbitrary base change to totally real 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=84983455295&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84983455295&partnerID=8YFLogxK
U2 - 10.7169/facm/2012.47.1.1
DO - 10.7169/facm/2012.47.1.1
M3 - Article
VL - 47
SP - 7
EP - 13
JO - Functiones et Approximatio, Commentarii Mathematici
JF - Functiones et Approximatio, Commentarii Mathematici
SN - 0208-6573
IS - 1
ER -