3 citations · 6 across the 6 of their papers we have counts for
7 papers
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…
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.
The Signals and Systems Approach to Quantum Computation
H. Gopalkrishna Gadiyar, K. M. Sangeeta Maini, R. Padma +1
In this note we point out the fact that the proper conceptual setting of quantum computation is the theory of Linear Time Invariant systems. To convince readers of the utility of t…
The Japanese approach to the Shimura - Taniyama conjecture
H. Gopalkrishna Gadiyar, R. Padma, H. S. Sharatchandra
In this note we point out links between the Shimura - Taniyama conjecture and certain ideas in physics. Since all the seminal references are by strange coincidence Japanese we wish…
Rota meets Ramanujan: Probabilistic interpretation of Ramanujan - Fourier series
H. Gopalkrishna Gadiyar, R. Padma
In this paper the ideas of Rota and Ramanujan are shown to be central to understanding problems in additive number theory. The circle and sieve methods are two different facets of…
Entropy and Hadamard Matrices
H. Gopalkrishna Gadiyar, K. M. Sangeeta Maini, R. Padma +1
The entropy of an orthogonal matrix is defined. It provides a new interpretation of Hadamard matrices as those that saturate the bound for entropy.It appears to be a useful Morse f…