Stephan Baier
Papers (pdf-files)
Diploma Thesis:
Primzahlzwillinge, FU-Berlin (1997).
Ph.D. Thesis:
Über Zugänge von Hua
und Pan Chengdong zum Primzahlzwillingsproblem, FU-Berlin
(2000).
1. Works in Refereed Journals:
1.1. On the Bateman-Horn conjecture, J. Number Theory 96 (2002) 432-448.
1.2. On the
p^\lambda problem, Acta Arithmetica
113 (2004) 77-101.
1.3. A note on
P-sets, Integers, Vol. 4 (2004) A13.
1.4. An
elementary approach to the twin primes problem, Monatshefte
für Mathematik 143
(2004) 269-283.
1.5. Almost-all
results on the p^\lambda problem, Acta Mathematica Hungarica 106 (2005)
253-269.
1.6. Addendum
to "On the p^\lambda problem", Acta Arithmetica 117 (2005) 181-186.
1.7. Mean
value estimates for products of shifted and ordinary Dirichlet
polynomials, JP Journal of Algebra, Number Theory and Applications 5 (2005)
269-286.
1.8. Large
sieve inequality with characters for powerful moduli,
joint paper with Liangyi Zhao, International Journal of Number Theory 1 (2005)
265-280.
1.9. An
extension of the Piatetski-Shapiro prime number theorem , Analysis (
1.10. A
remark on the least n with \chi(n)\not=1, Archiv der Mathematik
(
1.11. On
the least n with \chi(n)\not=1 , Quarterly Journal
of Mathematics 57 (2006) 279-283.
1.12. On
the large sieve with sparse sets of moduli , Journal of the Ramanujan
Math. Soc. 21 (2006) 279-295.
1.13. Bombieri-Vinogradov type theorems for sparse sets of moduli ,
joint paper with Liangyi Zhao, Acta Arith. 125 (2006) 187-201.
1.14. Almost-all
results on the p^\lambda problem II, Acta Math.
Hung. 113 (2006) 39-49.
1.15. The
large sieve with quadratic amplitude , Functiones Et Approximatio 36
(2006) 33-43.
1.16. Primes
in quadratic progressions on average , joint paper
with Liangyi Zhao, Math. Ann. 338 (2007) 963-982.
1.17. The
Lang-Trotter conjecture on average , J. Ramanujan Math. Soc. 22 (2007) 299-314.
1.18. An
improvement for the large sieve for square moduli , joint paper with
Liangyi Zhao, J. Number Theory 128 (2008) 154-174.
1.19. On the
low-lying zeros of Hasse-Weil L-functions for
elliptic curves, joint paper with Liangyi Zhao, Adv. Math. 219 (2008)
952-985.
1.20. The
Sato-Tate conjecture on average for small angles ,
joint paper with Liangyi Zhao, Trans. Amer. Math. Soc. 361 (2009) 1811-1832.
1.21. On primes in quadratic progressions , joint paper with Liangyi Zhao, to appear in “International Journal of Number Theory”.
1.22. A refined version of the Lang-Trotter conjecture, joint paper with Nathan Jones, to appear in “Int. Math. Res. Not.”.
2. Works in Conference Proceedings:
2.1. New results on the
p^\lambda problem, Proceedings of the Conference on Analytic and Elementary
Number Theory (ELAZ04) in Mainz 2004.
2.2. An extremal problem in lattice point combinatorics , joint
paper with Sukumar Das Adhikari
and Purusottam Rath, to
appear in the Proceedings of the Number Theory Conference held at TIFR,
2.3. On
primes represented by quadratic polynomials ,
joint paper with Liangyi Zhao, to appear in the Proceedings of the Workshop on
the Anatomy of Integers,
3. Submitted
for Publication:
3.1. A
remark on the Lang-Trotter conjecture
3.2. Mean values with cubic characters, joint paper with Matthew P. Young (updated).
3.3. On Hecke eigenvalues at Piatetski-Shapiro primes, joint paper with Liangyi Zhao.
4. Unpublished Material:
4.1. A probabilistic model for primes in random sets (2002).