The maximum size of L-functions
classification
🧮 math.NT
keywords
functionsconjecturemaximumrandomsizeargumentsassumingconjectures
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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.
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