Interpolation of the Dirichlet divisor problem
Harold Diamond (1967)
Acta Arithmetica
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Displaying similar documents to “Effective diophantine approximation on , II”
Interpolation of the Dirichlet divisor problem
Effective diophantine approximation on
Enrico Bombieri (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the multiplicities of binary complex recurrences
F. Beukers, R. Tijdeman (1984)
Compositio Mathematica
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On the irrationality measure of
Georges Rhin, Carlo Viola (1993)
Annales de l'institut Fourier
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We prove that 7. 398 537 is an irrationality measure of . We employ double integrals of suitable rational functions invariant under a group of birational transformations of . The numerical results are obtained with the aid of a semi-infinite linear programming method.
On the divisibility properties of integers (I)
P. Erdös, András Sárközy, E. Szemerédi (1966)
Acta Arithmetica
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Kloosterman sums and finite field extensions
L. Carlitz (1969)
Acta Arithmetica
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The permutation group method for the dilogarithm
Georges Rhin, Carlo Viola (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We give qualitative and quantitative improvements on all the best previously known irrationality results for dilogarithms of positive rational numbers. We obtain such improvements by applying our permutation group method to the diophantine study of double integrals of rational functions related to the dilogarithm.