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On certain solutions of the diophantine equation x-y = p(z)

100%

Nair R.

Acta Arithmetica

1992

tom 62

nr 1

61-71

On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II

100%

Nair R.

Studia Mathematica

1993

tom 105

nr 3

207-233

We show that if q is greater than one, T is a measure preserving transformation of the measure space (X,β,μ) and f is in $L^{q}(X,β,μ)$ then if ϕ is a non-constant polynomial mapping the natural numbers to themselves, the averages $π_{N}^{-1} ∑_{1≤p≤N} f(T^{ϕ(p)} x) (N = 1, 2, ...) converge μ almost everywhere. Here p runs over the primes and $π_N$ denotes their number in [1, N].

On a problem of R. C. Baker

63%

Nair R.

Acta Arithmetica

2003

tom 109

nr 4

343-348

On strong uniform distribution

23%

Nair R.

Acta Arithmetica

1990

tom 56

nr 3

183-193

Ograniczanie wyników

3 Acta Arithmetica

1 Studia Mathematica

4 Nair R.

1 2003

1 1993

1 1992

1 1990

Wyniki wyszukiwania

On certain solutions of the diophantine equation x-y = p(z)

On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II

On a problem of R. C. Baker

On strong uniform distribution