# On the greatest prime factor of $(a{x}^{m}+b{y}^{n})$

Acta Arithmetica (1980)

- Volume: 36, Issue: 1, page 21-25
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topShorey, T.. "On the greatest prime factor of $(ax^m + by^n)$." Acta Arithmetica 36.1 (1980): 21-25. <http://eudml.org/doc/205653>.

@article{Shorey1980,

author = {Shorey, T.},

journal = {Acta Arithmetica},

keywords = {effective theorem; exponential diophantine equation; greatest prime factor; linear forms in logarithms},

language = {eng},

number = {1},

pages = {21-25},

title = {On the greatest prime factor of $(ax^m + by^n)$},

url = {http://eudml.org/doc/205653},

volume = {36},

year = {1980},

}

TY - JOUR

AU - Shorey, T.

TI - On the greatest prime factor of $(ax^m + by^n)$

JO - Acta Arithmetica

PY - 1980

VL - 36

IS - 1

SP - 21

EP - 25

LA - eng

KW - effective theorem; exponential diophantine equation; greatest prime factor; linear forms in logarithms

UR - http://eudml.org/doc/205653

ER -

## Citations in EuDML Documents

top- Yann Bugeaud, Lower bounds for the greatest prime factor of $a{x}^{m}+b{y}^{n}$
- T. N. Shorey, R. Tijdeman, On the greatest prime factors of polynomials at integer points
- Robert Tijdeman, Some applications of Baker's sharpened bounds to diophantine equations
- Michel Langevin, Sur la fonction plus grand facteur premier

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