Sparsely totient numbers

Roger C. Baker; Glyn Harman

Annales de la faculté des sciences de Toulouse (1996)

  • Volume: 5, Issue: 2, page 183-190
  • ISSN: 0240-2963

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Baker, Roger C., and Harman, Glyn. "Sparsely totient numbers." Annales de la faculté des sciences de Toulouse 5.2 (1996): 183-190. <http://eudml.org/doc/73381>.

@article{Baker1996,
author = {Baker, Roger C., Harman, Glyn},
journal = {Annales de la faculté des sciences de Toulouse},
keywords = {sparsely totient numbers; largest prime divisor; estimates on exponential sums; fractional parts},
language = {eng},
number = {2},
pages = {183-190},
publisher = {Université Paul Sabatier},
title = {Sparsely totient numbers},
url = {http://eudml.org/doc/73381},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Baker, Roger C.
AU - Harman, Glyn
TI - Sparsely totient numbers
JO - Annales de la faculté des sciences de Toulouse
PY - 1996
PB - Université Paul Sabatier
VL - 5
IS - 2
SP - 183
EP - 190
LA - eng
KW - sparsely totient numbers; largest prime divisor; estimates on exponential sums; fractional parts
UR - http://eudml.org/doc/73381
ER -

References

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  1. [1] Baker ( R.C.) . — The greatest prime factor of the integers in an interval, Acta Arithmetica47 (1986), pp. 193-231.  Zbl0553.10035MR870666
  2. [2] Baker ( R.C.) and Harman .— Numbers with a large prime factor, Acta Arith.73 (1995), pp. 119-145.  Zbl0834.11037MR1358192
  3. [3] Baker ( R.C.), Harman and Rivat ( J.) .— Primes of the form [nc], J. of Number Theory, 50 (1995), pp. 261-277.  Zbl0822.11062MR1316821
  4. [4] Fouvry ( E.) and Iwaniec ( H.) . — Exponential sums with monomials, J. Number Theory33 (1989), pp. 311-333.  Zbl0687.10028MR1027058
  5. [5] Harman ( G.) .— On the distribution of αp modulo one, J. London Math. Soc.27 (1983), pp. 9-18.  Zbl0504.10018MR686496
  6. [6] Harman ( G.) . — On sparsely totient numbers, Glasgow Math. J.33 (1991), pp. 349-358.  Zbl0732.11049MR1127527
  7. [7] Iwaniec ( H.) and Laborde ( M.) .— P2 in short intervals, Ann. Inst. Fourier, Grenoble, 31 (1981), pp. 37-56.  Zbl0472.10048MR644342
  8. [8] Liu ( H.-Q.) .— The greatest prime factor of the integers in an interval, Acta Arith., 65 (1993), pp. 301-328.  Zbl0797.11071MR1259341
  9. [9] Masser ( D.W.) and Shiu ( P.) . — On sparsely totient numbers, Pacific J. Math.121 (1986), pp. 407-426.  Zbl0538.10006MR819198
  10. [10] Wu ( J.) .— P2 dans les petits intervalles, Séminaire de Théorie des Nombres de Paris (1989-90), Birkhaüser.  Zbl0743.11050MR1476739

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