Results 181 to 190 of about 1,611,376 (286)
, 2018 the result dates back to the "first" December 2018, deposited under copyright on December 31, 2018 and sent to arXiv with a positive response on May 7, 2019. Unfortunately, I was subsequently unable to publish the result with a conclusive "DOI" in a conventional journal since it was not I never received a response, despite posting the same important ...
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An Elementary Problem Equivalent to the Riemann Hypothesis
, 2000 Jeffrey C. Lagarias
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Moments of the Riemann zeta function at its local extrema
Mathematika, Volume 71, Issue 4, October 2025.Abstract Conrey, Ghosh and Gonek studied the first moment of the derivative of the Riemann zeta function evaluated at the non‐trivial zeros of the zeta function, resolving a problem known as Shanks' conjecture. Conrey and Ghosh studied the second moment of the Riemann zeta function evaluated at its local extrema along the critical line to leading order.
Andrew Pearce‐Crump
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Artin's Conjecture, Turing's Method, and the Riemann Hypothesis [PDF]
, 2006 Andrew R. Booker
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Fractional moments of L$L$‐functions and sums of two squares in short intervals
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let b(n)=1$b(n)=1$ if n$n$ is the sum of two perfect squares, and b(n)=0$b(n)=0$ otherwise. We study the variance of B(x)=∑n⩽xb(n)$B(x)=\sum _{n\leqslant x}b(n)$ in short intervals by relating the variance with the second moment of the generating function f(s)=∑n=1∞b(n)n−s$f(s)=\sum _{n=1}^{\infty } b(n)n^{-s}$ along Re(s)=1/2$\mathrm{Re}(s)=1/
Siegfred Baluyot, Steven M. Gonek
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On SUSY-QM, fractal strings and steps towards a proof of the Riemann hypothesis
, 2001 Carlos Castro +2 more
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Counting primes with a given primitive root, uniformly
Mathematika, Volume 71, Issue 4, October 2025.Abstract The celebrated Artin conjecture on primitive roots asserts that given any integer g$g$ that is neither −1$-1$ nor a perfect square, there is an explicit constant A(g)>0$A(g)>0$ such that the number Π(x;g)$\Pi (x;g)$ of primes p⩽x$p\leqslant x$ for which g$g$ is a primitive root is asymptotically A(g)π(x)$A(g)\pi (x)$ as x→∞$x\rightarrow \infty$
Kai (Steve) Fan, Paul Pollack
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A semi-local trace identity and the Riemann hypothesis for function fields
, 2001 Anton Deitmar
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