𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the diophantine equation apx + bqy = c + dpzqw

✍ Scribed by Christopher M. Skinner


Book ID
103218728
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
592 KB
Volume
35
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the diophantine equation
✍ Pingzhi Yuan; Yongzhong Hu πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 192 KB

Let D > 2 be a positive integer, and let p be an odd prime not dividing D. In this paper, using the deep result of Bilu, Hanrot and Voutier (i.e., the existence of primitive prime factors of Lucas and Lehmer sequences), by computing Jacobi's symbols and using elementary arguments, we prove that: if

On the diophantine equation
✍ Pingzhi Yuan πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 168 KB

In this paper, we prove the equation in the title has no positive integer solutions (x, y, n) with 2 | n and x = y apart from (x, y, n) = (5, 2, 5), (90, 2, 13).

On the Diophantine equation
✍ Florian Luca; GΓΆkhan Soydan πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 148 KB
On the Diophantine equation
✍ Shaun Cooper; Heung Yeung Lam πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 English βš– 228 KB
On the Diophantine equation
✍ Goedhart, Eva G.; Grundman, Helen G. πŸ“‚ Article πŸ“… 2014 πŸ› Elsevier Science 🌐 English βš– 259 KB
On the diophantine equation
✍ Yanyan, Liu πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 German βš– 162 KB