Adolf Piltz formulated a "generalized" version of this statement that applies to Dirichlet ("DEE-ree-klet")
Examining the spectrum of a quantization of the classical Hamiltonian "H equals xp" yields a result similar to this statement according to the Berry–Keating conjecture. This statement is implied by the stronger Mertens conjecture, which was proven to be false in 1985. Adolf Piltz formulated a "generalized" version of this statement that applies to Dirichlet ("DEE-ree-klet") L-series, which reduces to the standard version when all terms in the series have numerator 1. This statement, which was introduced in the 1859 paper "On the Number of Primes Less Than a Given Magnitude," would place a tight bound on the error term in the prime number theorem if it were true. This statement ignores the negative even integers, which are the "trivial zeros." For 10 points, identify this unproven conjecture that the nontrivial zeros of a certain man's zeta function all have real part one-half.
Examining the spectrum of a quantization of the classical Hamiltonian "H equals xp" yields a result similar to this statement according to the Berry–Keating conjecture.
Riemann hypothesis [prompt on Riemann] &lt;Other Science (Math)&gt;