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math.NT2013
Explicit formulas of a generalized Ramanujan sum
Patrick Kühn, Nicolas Robles
Explicit formulas involving a generalized Ramanujan sum are derived. An analogue of the prime number theorem is obtained and equivalences of the Riemann hypothesis are shown. Final…
math-ph2013★ 2 cited
Zeta functions on tori using contour integration
Emilio Elizalde, Klaus Kirsten, Nicolas Robles +1
A new, seemingly useful presentation of zeta functions on complex tori is derived by using contour integration. It is shown to agree with the one obtained by using the Chowla-Selbe…