3 papers
math.NT2016
On mean values of mollifiers and L-functions associated to primitive cusp forms
Patrick Kühn, Nicolas Robles, Dirk Zeindler
We study the second moment of the L-function associated to a holomorphic primitive cusp form of even weight perturbed by a new family of mollifiers. This family is a natural extens…
math.NT2016
On a mollifier of the perturbed Riemann zeta-function
Patrick Kühn, Nicolas Robles, Dirk Zeindler
The mollification put forward by Feng is computed by analytic methods coming from the techniques of the ratios conjectures of -functions. The current situation re…
math.NT2013
Explicit formulas of a generalized Ramanujan sum
Patrick Kühn, Nicolas Robles
Explicit formulas involving a generalized Ramanujan sum are derived. An analogue of the prime number theorem is obtained and equivalences of the Riemann hypothesis are shown. Final…