On some trigonometric diophantine equations of the type
โ Scribed by J. C. Parnami; M. K. Agrawal; A. R. Rajwade
- Publisher
- Akadmiai Kiad
- Year
- 1981
- Tongue
- English
- Weight
- 460 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let p>3 be an odd prime and `a pth root of unity. Let c be an integer divisible only by primes of the form kp&1, (k, p)=1. Let C (i) p be the eigenspace of the ideal class group of Q(`) corresponding to | i , | being the Teichmuller character. Let B 2i denote the 2i th Bernoulli number. In this arti
In this study, we investigate positive integer solutions of the Diophantine equations x 2 -kxyโy 2 โx = 0 and x 2 -kxy-y 2 โy = 0. It is shown that when k > 3, x 2 -kxy+y 2 +x = 0 has no positive integer solutions but the equation x 2 -kxy + y 2 -x = 0 has positive integer solutions. Moreover, it is