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math.NT2020★ 1 cited
Transcendental Numbers and the Lambert-Tsallis Function
J. L. E. da Silva, R. V. Ramos
To decide upon the arithmetic nature of some numbers may be a non-trivial problem. Some cases are well know, for example exp(1) and W(1), where W is the Lambert function, are trans…
math.NT2018★ 3 cited
A Non-Linear Difference Equation for Calculation of the Zeros of the Riemann Zeta-Function on the Critical Line
G. B. da Silva, R. V. Ramos
In this work, we present a non-linear difference equation for calculation of the zeros of the Riemann's zeta-function on the critical line. Our proposed non-linear map uses the Lam…