6 citations · 8 across the 4 of their papers we have counts for
6 papers
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…
Extreme and exposed points of shift-invariant spaces generated by Gaussian kernel and hyperbolic secant
Markus Valås Hagen, Alexander Ulanovskii, Denis Zelent +1
We characterize the extreme and exposed points of the unit ball (with respect to the -norm) in the shift-invariant space generated by the Gaussian function, as well as in the…
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…