Properties of the function .
Vlamos, Panayiotis (2001)
International Journal of Mathematics and Mathematical Sciences
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Vlamos, Panayiotis (2001)
International Journal of Mathematics and Mathematical Sciences
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Diamandescu, A. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Raffoul, Youssef N. (2009)
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Mathew Omonigho Omeike (2011)
Kragujevac Journal of Mathematics
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Bartušek, Miroslav (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kamont, Z., Kozieł, S. (2003)
Georgian Mathematical Journal
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Dinariev, O.Yu. (2000)
Siberian Mathematical Journal
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Guedda, L., Hallouz, A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Peter Lindqvist, Kristian Seip (1998)
Acta Arithmetica
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Some quadratic forms related to "greatest common divisor matrices" are represented in terms of L²-norms of rather simple functions. Our formula is especially useful when the size of the matrix grows, and we will study the asymptotic behaviour of the smallest and largest eigenvalues. Indeed, a sharp bound in terms of the zeta function is obtained. Our leading example is a hybrid between Hilbert's matrix and Smith's matrix.
M. Febrero (2008)
Boletín de Estadística e Investigación Operativa. BEIO
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Wenpeng Zhang (1994)
Acta Arithmetica
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R. R. Hall (1994)
Acta Arithmetica
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Kiguradze, I. (1994)
Georgian Mathematical Journal
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