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math.NT2005★ 3 cited
Ramanujan - Fourier Series and the Density of Sophie Germain Primes
H. Gopalkrishna Gadiyar, R. Padma
A prime p is called Sophie Germain prime if 2p+1 is also prime. A formula for the density of such primes is given in a more general setting using a new approach. This method uses t…
math.NT2004
Analogy between arithmetic of elliptic curves and conics
H. Gopalkrishna Gadiyar, R. Padma
In this brief note we bring out the analogy between the arithmetic of elliptic curves and the Riemann zeta-function.