1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2018
A new bound for the error term in the approximate functional equation for the derivatives of the Hardy's Z-function
Philippe Blanc
Lavrik and the author gave uniform bounds of the error term in the approximate functional equation for the derivatives of the Hardy's Z-function. We obtain a new bound of this erro…
math.NT2017
A new reason for doubting the Riemann hypothesis
Philippe Blanc
We make plausible the existence of counterexamples to the Riemann hypothesis located in the neighbourhood of unusually large peaks of . The main ingredient in our arg…
math.NT2013★ 1 cited
Lower bound for the maximum of some derivative of Hardy's function
Philippe Blanc
Under the Riemann hypothesis, we use the distribution of zeros of the zeta function to get a lower bound for the maximum of some derivative of Hardy's function.