On a non-self adjoint eigenfunction expansion.
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International Journal of Mathematics and Mathematical Sciences
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Naylor, D. (1984)
International Journal of Mathematics and Mathematical Sciences
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Naylor, D. (1988)
International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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Miloš Ráb (1972)
Czechoslovak Mathematical Journal
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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...