Table of contents

Kapitel in diesem Buch

1. I-IV I
2. Preface V
3. Table of contents VII
4. List of participants XI
5. Monochromatic solutions of Diophantine equations 1
6. Cubic Pisot units with finite beta expansions 11
7. Small values of diagonal cubic forms 27
8. On the approximation by algebraic numbers with bounded degree 47
9. Galois module structure and Kummer theory for Lubin-Tate formal groups 55
10. Galois module structure for wild extensions 69
11. Multiplicative dependence and bounded height, an example 93
12. The distribution of patterns in digital expansions 103
13. A note on Diophantine quintuples 123
14. Symmetric improvements of Liouville's inequality: A survey 129
15. On the distribution of the sums of binomial coefficients modulo a prime 143
16. Computing power integral bases in algebraic number fields II 153
17. Cuspidal divisor class groups of modular curves 163
18. Discriminant form and index form equations 191
19. On general families of parametrized Thue equations 215
20. Computing elliptic curves having good reduction everywhere over quadratic fields II 239
21. The class number one problem for the dihedral CM-fields 249
22. On Tate-Shafarevich groups of some elliptic curves 277
23. Polylogarithms and arithmetic functions 293
24. On the diophantine equation xn-1/x-1=yq 305
25. Distribution of Kronecker sequences 311
26. Finite polynomial orbits. A survey 331
27. Diophantine approximation in Rs: On a method of Mordell and Armitage 339
28. S-integer points on elliptic curves, theory and practice 351
29. Factorization in some orders with a PID as integral closure 365
30. Topologies induced by systems of divisors 391
31. Hartman and Beatty bisequences 405
32. Moment problem of the type ∫10∫10F(x,y)dg(x)dg(y)=0 423
33. Conner's Level Condition 445
34. Remarks on Iwasawa λ-invariants 453
35. Exact covers of balanced sequences and Fraenkel's conjecture 467
36. Representations of large integers as sums of two primes of special type 485
37. Conjectures for large transcendence degree 497
38. On Lambert's proof of the irrationality of π 521
39. Diophantine equations of the form aX4 - bY2 = ±1 531