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On the critical line $ \Re \zeta'(s)/\zeta(s) =? 1/2 \log(\pi) - 1/2 \Re \psi(s/2)$ ?
5
Estimate on the prime-counting function $\psi(x)$.
3
Closed form for derivatives $\zeta^{(n)}(1/2)$
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Riemann Z function, bounds on number of non-trivial zeros along horizontal lines, rather than vertical ones.
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Recovering $\sum_{n \leq x} a(n)$ from $\sum_{n \leq x} a(n)e^{-n/x}$
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Bounds of Chebyshev’s function in an interval.
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Good papers/books/essays about the thought process behind mathematical research
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Large gaps between P2s
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Sharpening of Lindelöf hypothesis
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Axioms for Riemann $\zeta$ function
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Is Mertens function negatively biased?
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non-trivial zeros of partial zeta functions
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Divergent series expansion in Apéry’s proof of the irrationality of $\zeta(2)$ and $\zeta(3)$
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Sum of $\sum_{k=1}^nd(k^2)$
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Distribution of primes in small intervals
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Is this sum of reciprocals of zeta zeros correct? (2)
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Prime numbers in arithmetic progressions : uniformity with respect to the modulus
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Possible locations for non trivial zeroes lying off the critical line
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Upper bounds on the difference of consecutive zeta zeros
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Values of Dirichlet L-funcions at natural numbers
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explicit formula for Riemann zeros counting function
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on the Zeroes of Hasse -weil L-function
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Riemann-Siegel’s approximate functional equation for fixed t and Re(s)≠1/2
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Is anyone aware of a good exposition of the Gauss-Kramer model of Integers?
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Asymptotic Formula for a Mertens Style Sum
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Zeros of primitive functions of S
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Order of $\zeta(1+it)$
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Bounds for generalized harmonic numbers
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Other applications of Vaughan’s Lemma?
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Are there any notion of ‘almost primes’ known to have small gaps?
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