An extension of the theory of Fredholm determinants
David Ruelle (1990)
Publications Mathématiques de l'IHÉS
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David Ruelle (1990)
Publications Mathématiques de l'IHÉS
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Marta García-Huidobro, Raúl Manásevich (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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D. Lehmer, S Selberg (1960)
Acta Arithmetica
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Yuichi Kamiya, Masatoshi Suzuki (2004)
Publications de l'Institut Mathématique
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K. Srinivas (2002)
Acta Arithmetica
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Masatoshi Suzuki (2009)
Acta Arithmetica
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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...
Martin E. Muldoon (1982)
Archivum Mathematicum
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