17 citations · 73 across the 39 of their papers we have counts for
9 papers · 1 filter
Lower bounds for the maximum of the Riemann zeta function along vertical lines
Christoph Aistleitner
Let be fixed. We prove that for all sufficiently large , wh…
Convergence of series of dilated functions and spectral norms of GCD matrices
Christoph Aistleitner, Istvan Berkes, Kristian Seip +1
We establish a connection between the norm of sums of dilated functions whose th Fourier coefficients are for some , and the spectral n…
On some questions of V.I. Arnold on the stochasticity of geometric and arithmetic progressions
Christoph Aistleitner
In some of his final papers, V.I. Arnold studied pseudorandomness properties of finite deterministic sequences, which he measured in terms of their "stochasticity parameter". In th…
Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality
Christoph Aistleitner, Josef Dick
In this paper we prove a correspondence principle between multivariate functions of bounded variation in the sense of Hardy and Krause and signed measures of finite total variation…
On the law of the iterated logarithm for trigonometric series with bounded gaps II
Christoph Aistleitner, Katusi Fukuyama
It is well-known that for a quickly increasing sequence the functions show a behavior which is typical for sequences of independent…
Extremal discrepancy behavior of lacunary sequences
Christoph Aistleitner, Katusi Fukuyama
In 1975 Walter Philipp proved the law of the iterated logarithm (LIL) for the discrepancy of lacunary sequences: for any sequence satisfying the Hadamard gap con…