Diophantine Analysis and Related Fields 2010:

The purpose of the conference was to report recent progress and developments of diophantine aspects of analytic number theory, especially focusing upon the topics in diophantine analysis and related fields; its simultaneous objectives are to promote interactions between analytic number theorists and mathematicians from other fields, and further to create opportunities for opening up new individual/collaborative research projects.

Preface	p. vii
List of Participants	p. ix
Conference Photo	p. xi
Generators for the Elliptic Curve y² = x³ - nx	p. 1
Algebraic Independence of Real Numbers with Low Density of Nonzero Digits (Survey)	p. 7
On the Complexity of the Binary Expansions of Algebraic Irrational Numbers (Survey)	p. 16
Some Recognizable Forms of Simple Continued Fractions	p. 27
Generalizations of Classical Results on Jesmanowicz' Conjecture Concerning Pythagorean Triples	p. 41
Mahler Measure of the Horie Unit and Weber's Class Number Problem in the Cyclotomic Z_p-Extension of Q	p. 52
On Siegel's Lemma and Linear Spaces of Random Variables	p. 62
A Congruence Modulo p of Zeta Polynomial for Cyclotomic Function Fields	p. 71
Preserving Log-Concavity and Generalized Triangles	p. 81
Characterization of Linear Recurrences Associated to Rays in Pascal's Triangle	p. 90
Asymptotic Expansions for Certain Multiple q-Integrals and q-Differentials of Thomae-Jackson Type	p. 100
Open Problems on Densities II	p. 114
On Generalized Lipschitz-Type Formulae and Applications	p. 129
Algebraic Jacobi-Perron Algorithm for Biquadratic Numbers	p. 139
Author Index	p. 151
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Diophantine Analysis and Related Fields 2010: Musashino, Tokyo, Japan 4-5 March 2010

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