On the zeros of a function related to Bessel functions
Martin E. Muldoon (1982)
Archivum Mathematicum
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Martin E. Muldoon (1982)
Archivum Mathematicum
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James Haglund (2011)
Open Mathematics
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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...
Herbert Stahl (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Shaw, J.K., Prather, C.L. (1982)
International Journal of Mathematics and Mathematical Sciences
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Qi, Jianming, Zhu, Taiying (2010)
Abstract and Applied Analysis
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Kim, Seon-Hong (2001)
International Journal of Mathematics and Mathematical Sciences
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T. S. Motzkin, J. L. Walsh (1959-1960)
Compositio Mathematica
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Hinkkanen, A. (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Farmer, David W. (1995)
The Electronic Journal of Combinatorics [electronic only]
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