36 citations · 133 across the 20 of their papers we have counts for
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math.NT2005★ 7 cited
Values of zeta functions at s=1/2
Niranjan Ramachandran
We study the behaviour near s=1/2 of zeta functions of varieties over finite fields F_q with q a square. The main result is an Euler-characteristic formula for the square of the sp…
math.OA2005★ 7 cited
KMS states and complex multiplication
Alain Connes, Matilde Marcolli, Niranjan Ramachandran
We construct a quantum statistical mechanical system which generalizes the Bost-Connes system to imaginary quadratic fields K of arbitrary class number and fully incorporates the e…
math.AG2005★ 4 cited
The de Rham-Witt and Z_p-cohomologies of an algebraic variety
James S. Milne, Niranjan Ramachandran
We show how the Z_p(r)-cohomologies of a smooth projective algebraic variety can be obtained via its de Rham-Witt complex.