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math-ph2002★ 3 cited
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…
math-ph2002
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…