Some Estimates of the Integral
Stojan Radenović (1992)
Publications de l'Institut Mathématique
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Stojan Radenović (1992)
Publications de l'Institut Mathématique
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M. Kalecki (1967)
Acta Arithmetica
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Jiayu Li, Yuxiang Li (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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In this paper we study the solutions of Toda systems on Riemann surface in the critical case, proving a sufficient condition for existence.
Hoorfar, Abdolhossein, Hassani, Mehdi (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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M. Szalay (1980)
Acta Arithmetica
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Hsien-Kuei Hwang (1996)
Acta Arithmetica
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Eira J. Scourfield (2004)
Journal de Théorie des Nombres de Bordeaux
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In 1989, E. Saias established an asymptotic formula for with a very good error term, valid for , , We extend this result to an algebraic number field by obtaining an asymptotic formula for the analogous function with the same error term and valid in the same region. Our main objective is to compare the formulae for and and in particular to compare the second term in the two expansions.
Chris J. Smyth (2002)
Journal de théorie des nombres de Bordeaux
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An explicit formula for the Mahler measure of the -variable Laurent polynomial is given, in terms of dilogarithms and trilogarithms.