The Diophantine Equation 2x^2+1=3^n
碩士 === 國立中央大學 === 數學研究所 === 90 === Ramanujan observed in 1913 that 1^2 + 7 = 2^3 , 3^2 + 7 = 2^4 , 5^2 + 7 = 2^5 , 11^2 + 7 = 2^7 , (181)^2 + 7 = 2^15 .(1.1) When looking for the solutions of the equation x^2 + 7 = 2^n in integers x > 0, n > 0,(1.2) Ramanujan conjectured in 1913 that all the s...
| Main Authors: | , |
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| Format: | Others |
| Language: | en_US |
| Published: |
2002
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| Online Access: | http://ndltd.ncl.edu.tw/handle/02773805837275640971 |