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

Studia Mathematica (1993)

- Volume: 105, Issue: 3, page 207-233
- ISSN: 0039-3223

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topNair, R.. "On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II." Studia Mathematica 105.3 (1993): 207-233. <http://eudml.org/doc/215995>.

@article{Nair1993,

abstract = {},

author = {Nair, R.},

journal = {Studia Mathematica},

keywords = {polynomial mapping},

language = {eng},

number = {3},

pages = {207-233},

title = {On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II},

url = {http://eudml.org/doc/215995},

volume = {105},

year = {1993},

}

TY - JOUR

AU - Nair, R.

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

JO - Studia Mathematica

PY - 1993

VL - 105

IS - 3

SP - 207

EP - 233

AB -

LA - eng

KW - polynomial mapping

UR - http://eudml.org/doc/215995

ER -

## References

top- [1] A. Bellow and V. Losert, On bad universal sequences in ergodic theory (II), in: Proc. Sherbrooke Workshop on Measure Theory, Lecture Notes in Math. 1033, Springer, 1984, 74-78. Zbl0587.28013
- [2] J. Bourgain, On the maximal ergodic theorem for certain subsets of the integers, Israel J. Math. 61 (1988), 39-72. Zbl0642.28010
- [3] J. Bourgain, Pointwise ergodic theorems for arithmetic sets, Publ. I.H.E.S. 69 (1989), 5-45. Zbl0705.28008
- [4] A. P. Calderón, Ergodic theory and translation-invariant operators, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 349-353. Zbl0185.21806
- [5] R. Nair, On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems, Ergodic Theory Dynamical Systems 11 (1991), 485-499. Zbl0751.28008
- [6] E. Stein, On limits of sequences of operators, Ann. of Math. 74 (1961), 140-170. Zbl0103.08903
- [7] I. M. Vinogradov, Selected Works, Springer, 1985.
- [8] M. Wierdl, Pointwise ergodic theorem along the prime numbers, Israel J. Math. 64 (1988), 315-336. Zbl0695.28007

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