Searching for Diophantine quintuples
Acta Arithmetica (2016)
- Volume: 173, Issue: 4, page 365-382
- ISSN: 0065-1036
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topMihai Cipu, and Tim Trudgian. "Searching for Diophantine quintuples." Acta Arithmetica 173.4 (2016): 365-382. <http://eudml.org/doc/286290>.
@article{MihaiCipu2016,
abstract = {We consider Diophantine quintuples a, b, c, d, e. These are sets of positive integers, the product of any two elements of which is one less than a perfect square. It is conjectured that there are no Diophantine quintuples; we improve on current estimates to show that there are at most $5.441·10^\{26\}$ Diophantine quintuples.},
author = {Mihai Cipu, Tim Trudgian},
journal = {Acta Arithmetica},
keywords = {Diophantine m-tuples; pell equations; linear forms in logarithms},
language = {eng},
number = {4},
pages = {365-382},
title = {Searching for Diophantine quintuples},
url = {http://eudml.org/doc/286290},
volume = {173},
year = {2016},
}
TY - JOUR
AU - Mihai Cipu
AU - Tim Trudgian
TI - Searching for Diophantine quintuples
JO - Acta Arithmetica
PY - 2016
VL - 173
IS - 4
SP - 365
EP - 382
AB - We consider Diophantine quintuples a, b, c, d, e. These are sets of positive integers, the product of any two elements of which is one less than a perfect square. It is conjectured that there are no Diophantine quintuples; we improve on current estimates to show that there are at most $5.441·10^{26}$ Diophantine quintuples.
LA - eng
KW - Diophantine m-tuples; pell equations; linear forms in logarithms
UR - http://eudml.org/doc/286290
ER -
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