The zeros of exponential polynomials (I)
Carlos Julio Moreno (1973)
Compositio Mathematica
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Carlos Julio Moreno (1973)
Compositio Mathematica
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Stolarsky, Kenneth B. (1982)
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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Türkân Başgöze (1970)
Compositio Mathematica
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R. A. Rankin (1982)
Compositio Mathematica
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George Csordas, Alain Escassut (2005)
Annales mathématiques Blaise Pascal
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The Laguerre inequality and the distribution of zeros of real entire functions are investigated with the aid of certain infinite-order differential operators. The paper includes new proofs, problems, conjectures and many illustrative examples and counterexamples.
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...
Prather, C.L. (1981)
International Journal of Mathematics and Mathematical Sciences
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