On the Poisson approximation of the binomial distribution.
Ruzankin, P.S. (2001)
Sibirskij Matematicheskij Zhurnal
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Ruzankin, P.S. (2001)
Sibirskij Matematicheskij Zhurnal
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Yuk-Kam Lau (2006)
Journal de Théorie des Nombres de Bordeaux
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Let be the error term in the mean square formula of the Riemann zeta-function in the critical strip . It is an analogue of the classical error term . The research of has a long history but the investigation of is quite new. In particular there is only a few information known about for . As an exploration, we study its mean value . In this paper, we give it an Atkinson-type series expansion and explore many of its properties as a function of .
Cranston, M., Mountford, T.S., Shiga, T. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Knessl, Charles, Szpankowski, Wojciech (2005)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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John Friedlander, Henryk Iwaniec (2010)
Journal de Théorie des Nombres de Bordeaux
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We consider the Legendre quadratic forms and, in particular, a question posed by J–P. Serre, to count the number of pairs of integers , for which the form has a non-trivial rational zero. Under certain mild conditions on the integers , we are able to find the asymptotic formula for the number of such forms.
De Koninck, Jean-Marie, Kátai, Imre (2010)
Journal of Integer Sequences [electronic only]
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Dony, Julia, Einmahl, Uwe (2006)
Electronic Journal of Probability [electronic only]
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Flajolet, Philippe, Gerhold, Stefan, Salvy, Bruno (2010)
The Electronic Journal of Combinatorics [electronic only]
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Bordellès, Olivier (2010)
Journal of Integer Sequences [electronic only]
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Handlovičová, A., Mikula, K. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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