Select Publications
Preprints
2022, Explicit zero-free regions for the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2212.06867
,2022, New bounds for numbers of primes in element orders of finite groups, http://dx.doi.org/10.48550/arxiv.2211.05837
,2022, On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function, http://dx.doi.org/10.48550/arxiv.2201.10676
,2021, Fake Mu's, http://dx.doi.org/10.48550/arxiv.2112.05227
,2021, Explicit lower bounds on $|L(1, χ)|$, http://arxiv.org/abs/2107.09230v1
,2021, Wolstenholme and Vandiver primes, http://dx.doi.org/10.48550/arxiv.2101.11157
,2020, Uniform effective estimates for $\vert L(1,\chi)\vert$, http://dx.doi.org/10.48550/arxiv.2011.08348
,2020, Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2010.10675
,2020, Accurate estimation of sums over zeros of the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2009.13791
,2020, A harmonic sum over nontrivial zeros of the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2009.05251
,2020, The mean square of the error term in the prime number theorem, http://dx.doi.org/10.48550/arxiv.2008.06140
,2020, Oscillations in weighted arithmetic sums, http://dx.doi.org/10.48550/arxiv.2007.14537
,2020, The size of oscillations in the Goldbach conjecture, http://dx.doi.org/10.48550/arxiv.2006.14742
,2019, A tale of two omegas, http://dx.doi.org/10.48550/arxiv.1906.02847
,2014, Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.1410.3926
,2013, A log-free zero-density estimate and small gaps in coefficients of $L$-functions, http://dx.doi.org/10.48550/arxiv.1312.5820
,