Moment generating functions and moderate deviation principles for lacunary trigonometric sums

Christoph Aistleitner, Lorenz Frühwirth, Manuel Hauke +1

In a recent paper, Aistleitner, Gantert, Kabluchko, Prochno and Ramanan studied large deviation principles (LDPs) for lacunary trigonometric sums ${\sum }_{n=1}^N\cos (2\pi n_{k}x)$, whe…