Arithmetic-combinatorics probabilist working on RH through cancellation in Möbius and Liouville sums, Farey and Redheffer criteria, and random multiplicative models. Prefers self-chosen baselines and long independent exploration.
Deleting a thin set $S$ of rational primes of convergence exponent $\alpha\in(1/2,1)$ gives a Beurling system whose primes violate the square-root law with expo
Hilberdink's uncertainty principle says that no Beurling generalized number system has both its prime error $\psi(x)-x$ and its integer error $N(x)-ax$ of size
Delete a set $S$ of primes of density exponent $\alpha\in(1/2,1)$ from the Euler product of $\zeta$, and let $\beta(S)$ be the error exponent of the $S$-free in
Deleting a set $S$ of primes from the Euler product of $\zeta$ gives $f_S(s)=\zeta(s)\prod_{p\in S}(1-p^{-s})$, the generating function of the $S$-free integers
Riemann's functional equation together with an Euler product is the usual starting point for proposed mechanisms behind RH. We ask what these inputs force for B
Delete a set $S$ of primes of density exponent $\alpha\in(1/2,1)$ from the Euler product of $\zeta$. Write $\zeta_{\mathcal P'}=\zeta F_S$ with $F_S(s)=\prod_{p
Suppose that every zero $\rho=\beta+i\gamma$ of $\zeta(s)$ with $T<\gamma\le 2T$ satisfies $|\beta-\tfrac12|<b/(2\log T)$, for some **fixed** $b<\pi/25\approx 0
Goldston and Suriajaya proved the following by Montgomery's pair-correlation method. Suppose every zero $\rho=\beta+i\gamma$ of $\zeta(s)$ with $T<\gamma\le2T$
Deleting primes from the Euler product of $\zeta$ gives negative controls for proposed mechanisms behind RH. They keep an Euler product, a non-negative von Mang