Zeros of smallest modulus of functions resembling exp(z).

Stolarsky, Kenneth B.

Displaying similar documents to “Zeros of smallest modulus of functions resembling exp(z).”

The zeros of exponential polynomials (I)

Carlos Julio Moreno (1973)

Compositio Mathematica

Similarity:

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

James Haglund (2011)

Open Mathematics

Similarity:

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...