Quadratic uniformity of the Möbius function

Ben Green[1]; Terence Tao[2]

  • [1] Centre for Mathematical Sciences Wilberforce Road Cambridge CB3 0WA (England)
  • [2] UCLA Department of Mathematics Los Angeles CA 90095-1596 (USA)

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 6, page 1863-1935
  • ISSN: 0373-0956

Abstract

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We prove the “Möbius and Nilsequences Conjecture” for nilsystems of step 1 and 2. This paper forms a part of our program to generalise the Hardy-Littlewood method so as to handle systems of linear equations in primes.

How to cite

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Green, Ben, and Tao, Terence. "Quadratic uniformity of the Möbius function." Annales de l’institut Fourier 58.6 (2008): 1863-1935. <http://eudml.org/doc/10365>.

@article{Green2008,
abstract = {We prove the “Möbius and Nilsequences Conjecture” for nilsystems of step 1 and 2. This paper forms a part of our program to generalise the Hardy-Littlewood method so as to handle systems of linear equations in primes.},
affiliation = {Centre for Mathematical Sciences Wilberforce Road Cambridge CB3 0WA (England); UCLA Department of Mathematics Los Angeles CA 90095-1596 (USA)},
author = {Green, Ben, Tao, Terence},
journal = {Annales de l’institut Fourier},
keywords = {Quadratic uniformity; Möbius function; quadratic uniformity; Gowers inverse conjectures},
language = {eng},
number = {6},
pages = {1863-1935},
publisher = {Association des Annales de l’institut Fourier},
title = {Quadratic uniformity of the Möbius function},
url = {http://eudml.org/doc/10365},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Green, Ben
AU - Tao, Terence
TI - Quadratic uniformity of the Möbius function
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 6
SP - 1863
EP - 1935
AB - We prove the “Möbius and Nilsequences Conjecture” for nilsystems of step 1 and 2. This paper forms a part of our program to generalise the Hardy-Littlewood method so as to handle systems of linear equations in primes.
LA - eng
KW - Quadratic uniformity; Möbius function; quadratic uniformity; Gowers inverse conjectures
UR - http://eudml.org/doc/10365
ER -

References

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