A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Distinguishing finite group characters and refined local-global phenomena

Volume 179 / 2017

Kimball Martin, Nahid Walji Acta Arithmetica 179 (2017), 277-300 MSC: Primary 11F80, 20C15; Secondary 20C33. DOI: 10.4064/aa170120-1-5 Published online: 11 July 2017

Abstract

Serre obtained a sharp bound on how often two irreducible degree $n$ complex characters of a finite group can agree, which tells us how many local factors determine an Artin $L$-function. We consider the more delicate question of finding a sharp bound when these objects are primitive, and answer this question for $n=2,3$. This provides some insight on refined strong multiplicity one phenomena for automorphic representations of $\operatorname{GL}(n)$. For general $n$, we also answer the character question for the families $\operatorname{PSL}(2,q)$ and $\operatorname{SL}(2,q)$.

Authors

  • Kimball MartinDepartment of Mathematics
    University of Oklahoma
    Norman, OK 73019, U.S.A.
    e-mail
  • Nahid WaljiThe American University of Paris
    75007 Paris, France
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image