Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Modular forms and L-Functions with a Partial Euler Product


Affiliations
1 American Institute of Mathematics, United States
2 Bucknell University, United States
3 Chalmers University of Technology, Sweden
     

   Subscribe/Renew Journal


Newforms on Γ0(N) give rise to Dirichlet series with a particular functional equation and Euler product. We directly investigate, by a numerical calculation, whether Dirichlet series with an appropriate functional equation and Euler product necessarily arise from a newform. Our calculations give new information about the role of the Euler product in the relationship between L-functions and modular forms.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 211

PDF Views: 0




  • Modular forms and L-Functions with a Partial Euler Product

Abstract Views: 211  |  PDF Views: 0

Authors

David W. Farmer
American Institute of Mathematics, United States
Sally Koutsoliotas
Bucknell University, United States
Stefan Lemurell
Chalmers University of Technology, Sweden

Abstract


Newforms on Γ0(N) give rise to Dirichlet series with a particular functional equation and Euler product. We directly investigate, by a numerical calculation, whether Dirichlet series with an appropriate functional equation and Euler product necessarily arise from a newform. Our calculations give new information about the role of the Euler product in the relationship between L-functions and modular forms.