Skip navigation

Main Menu

Global Menu

side title

Mathematics

Search

Seminar

Publication

Seminar View

Seminar
NUMBER  
AUTHOR Kim, Henry H.
TITLE THE SMALLEST PRIME IN A CONJUGACY CLASS AND THE FIRST SIGN CHANGE FOR AUTOMORPHIC L-FUNCTIONS
ARCHIVE  
FILE  
JOURNAL PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021
ABSTRACT Let K be an S-n-field. For a nonidentity conjugacy class C, define N-K,N-C to be the smallest prime p such that Frob(p) is an element of C. By using the observation that N-K,N-C is interpreted as the first prime sign change of the Dirichlet coefficients of automorphic L-functions, we improve the known bound on N-K,N-C for n = 3, 4, 5. (For n = 5, we need to assume the strong Artin conjecture.)
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~