On perfect powers in products with terms from arithmetic progressions

N. Saradha

Acta Arithmetica (1997)

  • Volume: 82, Issue: 2, page 147-172
  • ISSN: 0065-1036

How to cite

top

N. Saradha. "On perfect powers in products with terms from arithmetic progressions." Acta Arithmetica 82.2 (1997): 147-172. <http://eudml.org/doc/207086>.

@article{N1997,
author = {N. Saradha},
journal = {Acta Arithmetica},
keywords = {perfect powers; arithmetic progressions; exponential diophantine equations},
language = {eng},
number = {2},
pages = {147-172},
title = {On perfect powers in products with terms from arithmetic progressions},
url = {http://eudml.org/doc/207086},
volume = {82},
year = {1997},
}

TY - JOUR
AU - N. Saradha
TI - On perfect powers in products with terms from arithmetic progressions
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 2
SP - 147
EP - 172
LA - eng
KW - perfect powers; arithmetic progressions; exponential diophantine equations
UR - http://eudml.org/doc/207086
ER -

References

top
  1. [1] L. E. Dickson, History of the Theory of Numbers, Vol. II, Chelsea, New York, 1952. 
  2. [2] P. Erdős, On a Diophantine equation, J. London Math. Soc. 26 (1951), 176-178. Zbl0043.04309
  3. [3] P. Erdős and J. L. Selfridge, The product of consecutive integers is never a power, Illinois J. Math. 19 (1975), 292-301. Zbl0295.10017
  4. [4] D. H. Lehmer, List of prime numbers from 1 to 10006721, Carnegie Institution of Washington, Publication No. 165, 1914. 
  5. [5] D. S. Mitrinović, J. Sandor and B. Cristici, Handbook of Number Theory, Kluwer, 1996. 
  6. [6] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. Zbl0122.05001
  7. [7] T. N. Shorey and Yu. V. Nesterenko, Perfect powers in products of integers from a block of consecutive integers (II), Acta Arith. 76 (1996), 191-198. Zbl0859.11025
  8. [8] T. N. Shorey and R. Tijdeman, Some methods of Erdős applied to finite arithmetic progressions, in: The Mathematics of Paul Erdős I, R. L. Graham and J. Nešetřil (eds.), Springer, 1997, 251-267. Zbl0874.11035
  9. [9] T. N. Shorey and R. Tijdeman, On the greatest prime factor of an arithmetical progression, in: A Tribute to Paul Erdős, A. Baker, B. Bollobás and A. Hajnal (eds.), Cambridge University Press, 1990, 385-389. Zbl0709.11004
  10. [10] T. N. Shorey and R. Tijdeman, Perfect powers in products of terms in an arithmetical progression, Compositio Math. 75 (1990), 307-344. Zbl0708.11021

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.