3 problems
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The norm characterization of the Riemann hypothesis via Li coefficients
For each positive integer , let be the Li coefficient … where the sum runs over the nontrivial zeros of the Riemann zeta function with the limiting interpretation st…
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The conjectured strict recurrence inequality for Li coefficients
Let denote the Li coefficients of the Riemann zeta function. In view of the recurrence relation for these coefficients, strict recurrence inequality for Li coefficients…
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Unconditional asymptotic formula conjecture for Li coefficients in the Selberg class
Let be a function in the Selberg class, and let denote its Li coefficients. Theorem 4.1 gives, under the Generalized Riemann Hypothesis, … where … and ,…