On the Zeros of Functions in the Bers Space
A. Fletcher, V. Marković (2004)
Publications de l'Institut Mathématique
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A. Fletcher, V. Marković (2004)
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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...
Chen, Huaihui, Lappan, Peter (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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