A remark on Jeśmanowicz' conjecture for the non-coprimality case
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4491-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4491-2 | ||
| 100 | 1 | |a Miyazaki |D Takafumi |u Department of Mathematics, College of Science and Technology, Nihon University, 1-8-14 Kanda-Surugadai, Chiyoda-ku, 101-8308, Tokyo, Japan |4 aut | |
| 245 | 1 | 2 | |a A remark on Jeśmanowicz' conjecture for the non-coprimality case |h [Elektronische Daten] |c [Takafumi Miyazaki] |
| 520 | 3 | |a Let a, b, c be relatively prime positive integers such that a 2 + b 2 = c 2. Jeśmanowicz' conjecture on Pythagorean numbers states that for any positive integer N, the Diophantine equation (aN) x + (bN) y = (cN) z has no positive solution (x, y, z) other than x = y = z = 2. In this paper, we prove this conjecture for the case that a or b is a power of 2. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Diophantine equation |2 nationallicence | |
| 690 | 7 | |a Pythagorean numbers |2 nationallicence | |
| 690 | 7 | |a Jeśmanowicz' conjecture |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1255-1260 |x 1439-8516 |q 31:8<1255 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4491-2 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4491-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Miyazaki |D Takafumi |u Department of Mathematics, College of Science and Technology, Nihon University, 1-8-14 Kanda-Surugadai, Chiyoda-ku, 101-8308, Tokyo, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/8(2015-08-01), 1255-1260 |x 1439-8516 |q 31:8<1255 |1 2015 |2 31 |o 10114 | ||