Diophantine Approximation (eBook, PDF)

Festschrift for Wolfgang Schmidt
Redaktion: Tichy, Robert F.; Schmidt, Klaus; Schlickewei, Hans Peter

• Format: PDF

Produktbeschreibung

This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.

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Produktdetails

• Verlag: Springer Vienna
• Seitenzahl: 422
• Erscheinungstermin: 10. Juli 2008
• Englisch
• ISBN-13: 9783211742808
• Artikelnr.: 37759804

Inhaltsangabe

The Mathematical Work of Wolfgang Schmidt.- SchÄffer's Determinant Argument.- Arithmetic Progressions and Tic-Tac-Toe Games.- Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations.- Mahler's Classification of Numbers Compared with Koksma's, II.- Rational Approximations to A q-Analogue of ? and Some Other q-Series.- Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution.- Applications of the Subspace Theorem to Certain Diophantine Problems.- A Generalization of the Subspace Theorem With Polynomials of Higher Degree.- On the Diophantine Equation G n (x) = G m (y) with Q (x, y)=0.- A Criterion for Polynomials to Divide Infinitely Many k- Nomials.- Approximants de Padé des q-Polylogarithmes.- The Set of Solutions of Some Equation for Linear Recurrence Sequences.- Counting Algebraic Numbers with Large Height I.- Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren.- Construction of Approximations to Zeta-Values.- Quelques Aspects Diophantiens des VariéTés Toriques Projectives.- Une Inégalité de ?ojasiewicz Arithmétique.- On the Continued Fraction Expansion of a Class of Numbers.- The Number of Solutions of a Linear Homogeneous Congruence.- A Note on Lyapunov Theory for Brun Algorithm.- Orbit Sums and Modular Vector Invariants.- New Irrationality Results for Dilogarithms of Rational Numbers.