On the distribution of primitive Pythagorean triangles
Kui Liu (2010)
Acta Arithmetica
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Kui Liu (2010)
Acta Arithmetica
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T. W. Müller, J.-C. Schlage-Puchta (2004)
Acta Arithmetica
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Stephen D. Cohen, Sophie Huczynska (2003)
Acta Arithmetica
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Stephen D. Cohen, Sophie Huczynska (2010)
Acta Arithmetica
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Florian Luca, P. G. Walsh (2004)
Colloquium Mathematicae
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We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.
Lindström, B. (1999)
Portugaliae Mathematica
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Yonghui Wang, Claus Bauer (2004)
Acta Arithmetica
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L. Carlitz (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Yonghui Wang, Claus Bauer (2004)
Acta Arithmetica
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Robert Juricevic (2009)
Acta Arithmetica
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Alain Togbé, Bo He (2008)
Acta Arithmetica
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A. Schinzel (2011)
Acta Arithmetica
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Qingshan Chen, Ming-Cheng Shiue, Roger Temam, Joseph Tribbia (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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A new set of nonlocal boundary conditions is proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numerical simulations of the full nonlinear primitive equations are performed on a nested set of domains, and the results are discussed.
Qingshan Chen, Ming-Cheng Shiue, Roger Temam, Joseph Tribbia (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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A new set of nonlocal boundary conditions is proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numerical simulations of the full nonlinear primitive equations are performed on a nested set of domains, and the results are discussed.
C. Cobeli, G. Groza, M. Vâjâitu, A. Zaharescu (2002)
Colloquium Mathematicae
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We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.
A. Ecker (1982)
Elemente der Mathematik
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Carl E. Gordon (1970)
Compositio Mathematica
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