The True Order of the Riemann Zeta–function on the Critical Line

Abstract

UDC 511.3+517.43+519.45 For the Riemann zeta-function on the critical line the terminal estimate have been proved, which had been conjectured by Lindelöf at the beginning of this Centure. The proof is based on the authors relations which connect the bilinear forms of the eigenvalues of the Hecke operators with sums of the Kloosterman sums. By the way, it is… (More)

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