On a divisibility problem

Horst Alzer; József Sándor

Rendiconti del Seminario Matematico della Università di Padova (2013)

  • Volume: 130, page 215-220
  • ISSN: 0041-8994

How to cite

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Alzer, Horst, and Sándor, József. "On a divisibility problem." Rendiconti del Seminario Matematico della Università di Padova 130 (2013): 215-220. <http://eudml.org/doc/275144>.

@article{Alzer2013,
author = {Alzer, Horst, Sándor, József},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {divisibility; Euler totient; sum of divisors; Weierstrass product; inequalities},
language = {eng},
pages = {215-220},
publisher = {Seminario Matematico of the University of Padua},
title = {On a divisibility problem},
url = {http://eudml.org/doc/275144},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Alzer, Horst
AU - Sándor, József
TI - On a divisibility problem
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2013
PB - Seminario Matematico of the University of Padua
VL - 130
SP - 215
EP - 220
LA - eng
KW - divisibility; Euler totient; sum of divisors; Weierstrass product; inequalities
UR - http://eudml.org/doc/275144
ER -

References

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  1. [1] C. Adiga - H. N. Ramaswamy, A note on certain divisibility problem, Int. J. Math. Anal.2 (2008), pp. 1157–1161. Zbl1221.11195MR2514979
  2. [2] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976. MR434929
  3. [3] K. Harris, On the classification of integers n that divide ϕ ( n ) + σ ( n ) , J. Number Th.129 (2009), pp. 2093–2110. Zbl1185.11008MR2528055
  4. [4] Q.-X. Jin - M. Tang, The 4 -Nicol numbers having five different prime divisors, J. Integer Seq. 14 (2011), article 11.7.1 (electronic). Zbl1223.11006MR2832170
  5. [5] F. Luca - J. Séndor, On a problem of Nicol and Zhang, J. Number Th.128 (2008), pp. 1044–1059. MR2400056
  6. [6] C. A. Nicol, Some diophantine equations involving arithmetic functions, J. Math. Anal. Appl.15 (1966), pp. 154–161. Zbl0139.27202MR195809
  7. [7] S. Yang, On a divisibility problem of Nicol and Zhang, (Chinese), Adv. Math. (China) 39 (2010), pp. 747–754. MR2780263
  8. [8] M. Zhang, On a divisibility problem. J. Sichuan Univ. Nat. Sci. Ed.32 (1995), pp. 240–242. Zbl0842.11003MR1406785

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