Mathematics – Number Theory
Scientific paper
2005-06-11
Mathematics
Number Theory
Final version. To appear in Crelle
Scientific paper
We conjecture the true rate of growth of the maximum size of the Riemann zeta
function and other $L$-functions. We support our conjecture using arguments
from random matrix theory, conjectures for moments of $L$-functions, and also
by assuming a random model for the primes.
Farmer David W.
Gonek Steven M.
Hughes Peter C.
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