5 papers
A prime plus a square: A conditional 11/20 upper bound
János Pintz, Ingo Althöfer
Let count the positive integers at most that cannot be expressed as a prime plus a nonnegative integer square. Assuming that every nontrivial zero of every primi…
Analytic Robot Self-Model: Learning Screw-Axis Kinematics for Rendering and Model-Based Control
Chen Xu, Xu Chen, Ning Tan
Visual self-modelling lets robots learn body models from observations, but such models usually encode kinematics implicitly rather than exposing metric joint parameters for computa…
Oscillation of partial sums of the Möbius function and zeros of Riemann's zeta function
János Pintz
The oscillation of M(x), the partial sum of the Möbius function has been in the focus of researchers in the theory of primes since the famous conjecture of Mertens in 1905 (formula…
On the Density Hypothesis for the Selberg class
János Pintz
We prove a general zero density theorem on the Selberg class of functions. The result verifies the Density Hypothesis in the strip when the real part of the variable is at least 0.…
A remark on density theorems for Riemann's zeta-function
Janos Pintz
The goal of this paper is to give a relatively simple proof of some known zero density estimates for Riemann zeta function which are sufficiently strong to break the density hypoth…