Mathematical Reports - Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

Mathematical Reports
Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

11F67 — 5 articles found.

On $L^{(r+1)}(\pi,1/2)$

C. R. Math. Rep. Acad. Sci. Canada Vol. 28 (2) 2006, pp. 33–38
Vol.28 (2) 2006
Amir Akbary Details
(Received: 2005-11-15 )
(Received: 2005-11-15 )

Amir Akbary, Department of Mathematics and Computer Science, University of Lethbridge, 4401 University Drive West, Lethbridge, Alberta T1K 3M4; email: amir.akbary@uleth.ca

Abstract/Résumé:

Let \(r\) be the order of vanishing of the automorphic \(L\)-function \(L(\pi,s)\) at \(s=1/2\). We study the non-vanishing of the derivative of order \(r+1\) of \(L(\pi,s)\) at \(s=1/2\).

Soit \(r\) l’ordre d’annulation de la fonction \(L\) automorphe \(L(\pi,s)\) à \(s=1/2\). Nous étudions la non-annulation de la dérivée d’ordre \(r+1\) de \(L(\pi,s)\) à \(s=1/2\).

Keywords: L-functions, non-vanishing of high derivatives of L-functions

AMS Subject Classification: Special values of automorphic $L$-series; periods of modular forms; cohomology; modular symbols 11F67

PDF(click to download): On $L^{(r+1)}(pi,1/2)$

Average values of symmetric square L-functions at?(s) = 2

C. R. Math. Rep. Acad. Sci. Canada Vol. 22 (3) 2000, pp. 97–104
Vol.22 (3) 2000
A. Akbary Details
(Received: 1999-06-10 )
(Received: 1999-06-10 )

A. Akbary

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Special values of automorphic $L$-series; periods of modular forms; cohomology; modular symbols 11F67

PDF(click to download): Average values of symmetric square L-functions at ?(s) = 2

The central critical value of automorphic L-functions

C. R. Math. Rep. Acad. Sci. Canada Vol. 22 (2) 2000, pp. 82–85
Vol.22 (2) 2000
J. Sengupta Details
(Received: 1999-06-20 )
(Received: 1999-06-20 )

J. Sengupta

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Modular forms; one variable, Special values of automorphic $L$-series; periods of modular forms; cohomology; modular symbols 11F11, 11F67

PDF(click to download): The central critical value of automorphic L-functions

Gordon’sϵ-conjecture on the lacunarity of modular forms

C. R. Math. Rep. Acad. Sci. Canada Vol. 20 (4) 1998, pp. 103–107
Vol.20 (4) 1998
K. Ono Details
(Received: 1997-09-08 )
(Received: 1997-09-08 )

K. Ono

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Special values of automorphic $L$-series; periods of modular forms; cohomology; modular symbols 11F67

PDF(click to download): Gordon's ϵ-conjecture on the lacunarity of modular forms

Congruences for the special values of modular L-functions

C. R. Math. Rep. Acad. Sci. Canada Vol. 20 (3) 1998, pp. 77–82
Vol.20 (3) 1998
V. Vatsal Details
(Received: 1997-11-27 )
(Received: 1997-11-27 )

V. Vatsal

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Special values of automorphic $L$-series; periods of modular forms; cohomology; modular symbols 11F67

PDF(click to download): Congruences for the special values of modular L-functions