An extension of the theory of Fredholm determinants
David Ruelle (1990)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “Finding eigenvalues of the period-doubling operator from the characteristic equation”
An extension of the theory of Fredholm determinants
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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...
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