Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. (English) Zbl 1143.11004

Developments in Mathematics 16. Wien: Springer (ISBN 978-3-211-74279-2/hbk). vii, 422 p. (2008).

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The articles of this volume will be reviewed individually.
Indexed articles:
Schlickewei, Hans Peter, The mathematical work of Wolfgang Schmidt, 1-20 [Zbl 1207.11002]
Baker, Roger C., Schäffer’s determinant argument, 21-39 [Zbl 1234.11087]
Beck, József, Arithmetic progressions and Tic-Tac-Toe games, 41-93 [Zbl 1243.91018]
Berkes, István; Philipp, Walter; Tichy, Robert F., Metric discrepancy results for sequences \(\{n_k x\}\) and Diophantine equations, 95-105 [Zbl 1213.11152]
Bugeaud, Yann, Mahler’s classification of numbers compared with Koksma’s. II, 107-121 [Zbl 1214.11082]
Bundschuh, Peter; Zudilin, Wadim, Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series, 123-139 [Zbl 1213.11146]
Chen, William W. L.; Skriganov, Maxim M., Orthogonality and digit shifts in the classical mean squares problem in irregularities of point distribution, 141-159 [Zbl 1233.11082]
Corvaja, Pietro; Zannier, Umberto, Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results, 161-174 [Zbl 1245.11086]
Evertse, Jan-Hendrik; Ferretti, Roberto G., A generalization of the subspace theorem with polynomial of higher degree, 175-198 [Zbl 1153.11032]
Fuchs, Clemens; Pethő, Attila; Tichy, Robert F., On the Diophantine equation \(G_n(x)=G_m(y)\) with \(Q(x,y)=0\), 199-209 [Zbl 1215.11031]
Hajdu, Lajos; Tijdeman, Robert, A criterion for polynomials to divide infinitely many \(k\)-nomials, 211-220 [Zbl 1220.11038]
Krattenthaler, Christian; Rivoal, Tanguy, Padé approximants of \(q\)-polylogarithm, 221-230 [Zbl 1227.11085]
Losert, Viktor, The set of solutions of some equation for linear recurrence sequences, 231-235 [Zbl 1235.11032]
Masser, David; Vaaler, Jeffrey D., Counting algebraic numbers with large height. I, 237-243 [Zbl 1211.11115]
Mihăilescu, Preda, Class number conditions for the diagonal case of the equation of Nagell and Ljunggren, 245-273 [Zbl 1239.11036]
Nesterenko, Yuri V., Construction of approximations to zeta-values, 275-293 [Zbl 1254.11071]
Philippon, Patrice; Sombra, Martín, Some diophantine aspects of projective toric varieties, 295-338 [Zbl 1153.11029]
Rémond, Gaël, An arithmetic Łojasiewicz inequality, 339-345 [Zbl 1151.11014]
Roy, Damien, On the continued fraction expansion of a class of numbers, 347-361 [Zbl 1215.11070]
Schinzel, Andrzej, The number of solutions of a linear homogeneous congruence, 363-370 [Zbl 1239.11039]
Schweiger, Fritz, A note on Lyapunov theory for Brun algorithm, 371-379 [Zbl 1197.11097]
Stepanov, Serguei A., Orbit sums and modular vector invariants, 381-412 [Zbl 1221.13009]
Viola, Carlo, New irrationality results for dilogarithms of rational numbers, 413-422 [Zbl 1214.11085]

MSC:

11-06	Proceedings, conferences, collections, etc. pertaining to number theory
00B30	Festschriften
00B25	Proceedings of conferences of miscellaneous specific interest
11Jxx	Diophantine approximation, transcendental number theory
11Kxx	Probabilistic theory: distribution modulo \(1\); metric theory of algorithms
11Dxx	Diophantine equations