The critical strips of the sums .

Mora, G.; Sepulcre, J.M.

Displaying similar documents to “The critical strips of the sums $1 + 2^{z} + \dots + n^{z}$ .”

The zeros of exponential polynomials (I)

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New polynomials $P$ for which $f^{''} + P (z) f = 0$ has a solution with almost all real zeros.

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Some conjectures on the zeros of approximates to the Riemann ≡-function and incomplete gamma functions

James Haglund (2011)

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Riemann conjectured that all the zeros of the Riemann ≡-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums ≡N(z) in Riemann’s uniformly convergent infinite series expansion of ≡(z) involving incomplete gamma functions. We conjecture that when the zeros of ≡N(z) in the first quadrant of the complex plane are listed by increasing real part, their imaginary parts are monotone nondecreasing. We show...