6 citations · 8 across the 4 of their papers we have counts for
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Sharp unconditional moment bounds for products of L-functions
Markus Valås Hagen
We investigate the mixed moments of products of irreducible and -functions on the critical line, and establish sharp moment bounds for these qu…
On Goldbach numbers in short intervals
Andrés Chirre, Markus Valås Hagen
Assuming the Riemann Hypothesis, we prove that for all , there exists at least one even integer within the interval , that can be expressed as the sum o…
Sharp conditional moment bounds for products of -functions
Markus Valås Hagen
Assuming the Generalized Riemann Hypothesis and the Generalized Ramanujan Conjecture, we determine the order of the th moment of a product of distinct irreducible…
A dichotomy for extreme values of zeta and Dirichlet L-functions
Andriy Bondarenko, Pranendu Darbar, Markus Valås Hagen +2
We exhibit large values of the Dedekind zeta function of a cyclotomic field on the critical line. This implies a dichotomy whereby one either has improved lower bounds for the maxi…
Conditional estimates for the logarithmic derivative of Dirichlet -functions
Andrés Chirre, Aleksander Simonič, Markus Valås Hagen
Assuming the Generalized Riemann Hypothesis, we establish explicit bounds in the -aspect for the logarithmic derivative of Dirichlet -func…