Publication: On a class of functions that satisfies explicit formulae involving the Möbius function
On a class of functions that satisfies explicit formulae involving the Möbius function
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Kühn, P., Robles, N., & Roy, A. (2015). On a class of functions that satisfies explicit formulae involving the Möbius function. The Ramanujan Journal, 38(2), 383–422. https://doi.org/10.1007/s11139-014-9608-1
Abstract
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Abstract
A class of functions that satisfies intriguing explicit formulae of Ramanujan and Titchmarsh involving the zeros of an L -function in the reduced Selberg class of degree one and its associated Möbius function is studied. Moreover, a sufficient and necessary condition for the truth of the Riemann hypothesis due to Riesz is generalized.
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- Kühn, Patrick
- Robles, Nicolas
- Roy, Arindam
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Kühn, P., Robles, N., & Roy, A. (2015). On a class of functions that satisfies explicit formulae involving the Möbius function. The Ramanujan Journal, 38(2), 383–422. https://doi.org/10.1007/s11139-014-9608-1
