On the correlation of the Moebius functionwith rank-one systems

By Jean Bourgain. Journal d'Analyse Mathematique, 2013

74 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2f573c29f0973438fea5f415d858d2317eb26892

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Nikos Frantzikinakis
2. B. Host

In Discrete Mathematics and Combinatorics

1. Nikos Frantzikinakis
2. B. Host
3. Terence Tao
4. Q. Chu
5. T. Ziegler
6. Bryna Kra
7. M. N. Walsh
8. Tim Austin

In Mathematical Physics

1. Nikos Frantzikinakis
2. B. Host
3. Terence Tao
4. Q. Chu
5. T. Ziegler
6. M. N. Walsh
7. Bryna Kra
8. Ben Joseph Green

Citations in the corpus

• The logarithmic Sarnak conjecture for ergodic weights (2017, background): “The Sarnak conjecture has been proved for a variety of systems, for example nilsystems [32], some horocycle flows [6] and more general zero entropy systems arising from homogeneous dynamics [56], certain distal systems, in particular, some extensions of a rotation by a torus [45], [49], [67], a larg”
• Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures (2016, unknown): “CHOWLA AND SARNAK CONJECTURES 3 dynamical systems [1], [2], [3], [5], [6], [7], [8], [9], [12], [13], [14], [15], [17], [18], [25], [29], [33], [39], [40], [41], [42], [43], [48], [49], [52], [58]; for further variants of the Sarnak conjecture, see [10], [13], [37].”