Greatest prime divisors of polynomial values over function fields
Acta Arithmetica (2014)
- Volume: 165, Issue: 4, page 339-349
- ISSN: 0065-1036
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topAlexei Entin. "Greatest prime divisors of polynomial values over function fields." Acta Arithmetica 165.4 (2014): 339-349. <http://eudml.org/doc/279494>.
@article{AlexeiEntin2014,
abstract = {For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ F (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of F(f) in terms of the height of f, establishing a strong result for the function field analogue of a classical problem in number theory.},
author = {Alexei Entin},
journal = {Acta Arithmetica},
keywords = {values of polynomials; function fields; greatest prime divisor},
language = {eng},
number = {4},
pages = {339-349},
title = {Greatest prime divisors of polynomial values over function fields},
url = {http://eudml.org/doc/279494},
volume = {165},
year = {2014},
}
TY - JOUR
AU - Alexei Entin
TI - Greatest prime divisors of polynomial values over function fields
JO - Acta Arithmetica
PY - 2014
VL - 165
IS - 4
SP - 339
EP - 349
AB - For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ F (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of F(f) in terms of the height of f, establishing a strong result for the function field analogue of a classical problem in number theory.
LA - eng
KW - values of polynomials; function fields; greatest prime divisor
UR - http://eudml.org/doc/279494
ER -
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