| Title:
|
Method of infinite ascent applied on $-(2^p\cdot A^6)+B^3=C^2$ (English) |
| Author:
|
Jena, Susil Kumar |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
21 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
173-178 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the author shows a technique of generating an infinite number of coprime integral solutions for $(A,B,C)$ of the Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$ for any positive integral values of $p$ when $p \equiv 1$ (mod 6) or $p \equiv 2$ (mod 6). For doing this, we will be using a published result of this author in The Mathematics Student, a periodical of the Indian Mathematical Society. (English) |
| Keyword:
|
higher order Diophantine equations |
| Keyword:
|
method of infinite ascent |
| Keyword:
|
Diophantine equation $-(2^p\cdot A^6) + B^3 = C^2$ |
| MSC:
|
11D41 |
| MSC:
|
11D72 |
| idZBL:
|
Zbl 06296536 |
| idMR:
|
MR3159288 |
| . |
| Date available:
|
2014-01-27T12:45:07Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143589 |
| . |
| Reference:
|
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| Reference:
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