Direct proofs of some of Euler's results

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Table of Contents VII
4. On the life and work of Kustaa Inkeri 1
5. On the values of certain q-hypergeometric series 5
6. On the Diophantine equation 19
7. Arithmetical properties of the solutions of certain functional equations 25
8. Multiple zeta sums via box splines 43
9. Galois representations attached to elliptic curves and diophantine problems 71
10. One-sided sifting density hypotheses in Selberg's sieve 105
11. On characterizations of completely multiplicative arithmetical functions 115
12. A note on the power residue symbol 125
13. Exponential sums with a large second derivative 131
14. Some mean value results for the Riemann zeta-function 145
15. Direct proofs of some of Euler's results 163
16. The fourth moment of central values of Hecke series 167
17. The universality of Dirichlet series attached to finite Abelian groups 179
18. An irrationality criterion for p-adic binomial series 193
19. The mean values and the universality of Rankin-Selberg L-functions 201
20. On the binary additive divisor problem 223
21. Catalan's equation just before 2000 247
22. New analytic problems over imaginary quadratic number fields 255
23. On number theory and Kustaa Inkeri 281
24. On Lucas sequence terms of the form kx² 293
25. Stark's question and Popescu's conjecture for abelian L-functions 305
26. Partial Pell numbers 317
27. List of participants 323