نظریه اعداد، تحلیل و ترکیبات ۲۰۱۳
Number Theory, Analysis, and Combinatorics 2013

1. Preface

2. List of contributing authors

3. Random union-closed families

4. Small populations of zeros of L-functions

5. Turá¡n-type inequalities and the distribution of zeros of entire functions

6. Paul Turá¡n and Probabilistic Number Theory

7. Effective results for Diophantine equations over finitely generated domains: A survey

8. On the optimal weight function in the Goldston–Pintz–Yıldırım method for finding small gaps between consecutive primes

9. Untangling upper-bound sieves

10. On a theorem of Erdős and Simonovits on graphs not containing the cube

11. A survey of Turán’s equivalent power series

12. Internal twists of L-functions

13. Turán’s new method and compressive sampling

14. Turán’s graph theorem, measures and probability theory

15. On the Turán–Kubilius inequality

16. Sums of a smooth number and a number with missing digits

17. Turán’swork in analytic number theory

18. On the irreducibility of basic automorphic representations

19. On composite rational functions

20. Some new results on gaps between consecutive primes

21. On some results of Turán about the local behavior of polynomials

22. On multiplicative decompositions of the set of the shifted quadratic residues modulo p

23. Paul Turán’s influence in combinatorics

24. On optimal interpolatory point systems

25. Paul Turán – A Capsule Biography