S. Farhangi

activity

20142026

most citedA generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages

2 citations · 4 across the 14 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.DS2021★ 1 cited

Pointwise Ergodic Theorems for Higher Levels of Mixing

Sohail Farhangi

We prove strengthenings of the Birkhoff Ergodic Theorem for weakly mixing and strongly mixing measure preserving systems. We show that our pointwise theorem for weakly mixing syste…

math.DS2021

A generalization of van der Corput's Difference Theorem

Sohail Farhangi

We prove a generalization of van der Corput's Difference Theorem in the theory of uniform distribution by establishing a connection with unitary operators that have Lebesgue spectr…

math.CO2021

On The Partition Regularity of $a x + b y = c w^{m} z^{n}$

Sohail Farhangi, Richard Magner

Csikvári, Gyarmati, and Sárközy showed that the equation $x + y = z^{2}$ is not partition regular (PR) over $N$ and asked if the equation $x + y = w z$ is PR over $N$ . B…

Pointwise Ergodic Theorems for Higher Levels of Mixing

A generalization of van der Corput's Difference Theorem

On The Partition Regularity of ax+by=cwmzn

On The Partition Regularity of $a x + b y = c w^{m} z^{n}$