Anton Deitmar's
Works
Preprints
Articles
52. Belian categories. Far East Journal of Mathematical Sciences. preprint
51. Invariants, cohomology, and automorphic forms of higher
order. Selecta Mathematica. article
preprint
50. Iterated Integrals and higher order invariants. (with Ivan Horozov)
Can. J. Math. preprint
49. Holomorphic torsion and
closed geodesics. J. Fixed Point Theory Appl. 9, 25–53
(2011). article
preprint
48. Lewis-Zagier Correspondence for
higher order forms. Pacific Journal
of Mathematics 249.1, 11-21
(2011). article preprint
47. Higher order invariants in
the
case of compact quotients. Central
European Journal of Mathematics 9.1, 85-101 (2011). article
preprint
46. A new multiple Dirichlet series
induced by a higher order form.
(with Nikolaos Diamantis) Acta Arithmetica 142.4, 303-309 (2010). preprint
45. Automorphic forms of higher
order.
(with Nikolaos Diamantis) Journal of the London Mathematical
Society. 80, 18-34 (2009). article
preprint
44. Higher order group cohomology and
the Eichler-Shimura map. J.
reine u. angew. Math. 629, 221-235 (2009). article
preprint
43. A prime geodesic theorem
for
higher rank II: singular geodesics. Rocky Mountain J. Math. 39,
No. 2, 485-507 (2009). article preprint
42. F1-schemes and toric varieties.
Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 517-525
(2008). article
preprint
41. Absolute zeta functions.
(with S. Koyama and N. Kurokawa) Proc. Japan Acad. Ser. A Math. Sci.
84, no. 8, 138-142
(2008). article
40. A prime geodesic theorem for
SL(4). (with Mark
Pavey) Ann. Global Anal. Geom. 33, No. 2, 161-205 (2008). article
preprint
39. Lefschetz formulae for
p-adic
groups. Chinese Ann. Math. Ser. B. 28, no. 4, 463-474 (2007). article preprint
38. A higher rank Lefschetz formula.
J. Fixed Point Theory Appl. 2, 1-40 (2007). article
preprint
erratum
37. A Lewis Correspondence for
submodular groups. (with J. Hilgert) Forum Math. 19, no. 6,
1075-1099 (2007). article preprint
36. Class numbers of orders in
complex
quartic fields. (with Mark Pavey) Math. Ann. 338, no. 3,
767-799 (2007). article
35. Generalised Selberg zeta
functions
and a conjectural Lefschetz formula. Proceedings
of
Symp.
in
Pure
Math.
75,
177-
190
(2006). book
preprint
34. Invariant triple products. Int.
J.
Math.
Math.
Sci.,
Art.
ID
48274,
22
pp.
(2006).
article
33. Remarks on zeta functions and
K-theory over F1. Proc. Japan Acad. Ser. A Math. Sci. 82 no 8,
141-146 (2006). article
32. A discrete Lefschetz
formula. Topology Appl., Volume 153,
Issue 14 , 2363-2381 (2006). article
preprint
31. The Ihara-Selberg zeta function
for PGL(3) and Hecke operators. (with J. W. Hoffman) Internat.
J. Math., Vol. 17, No. 2, 143-156 (2006). article
preprint
30. Schemes over F1. Progress
in Mathematics, Vol. 239 Geer, Moonen, Schoof (Eds.) Birkäuser
2005,
87-100. article
preprint
29. Cohomology of arithmetic
groups with
infinite dimensional coefficient spaces. (with J. Hilgert)
Doc. Math. 10, 199-216 (2005). article
erratum
28. Asymptotics of class
numbers. (with W. Hoffmann) Invent. Math. 160, 647 - 675 (2005).
article
27. A prime geodesic theorem for
higher
rank spaces. Geometric and Functional Analysis 14, 1238-1266
(2004). article
preprint
26. Panorama of zeta
functions. in: Erich Kähler: Mathematical Works. de
Gruyter 2003. book
preprint
25. Lefschetz formulae and
zeta functions. Journal of the Ramanujan Mathematical Society
18, 139-152 (2003). journal
preprint
24. A dynamical Lefschetz trace
formula
for algebraic Anosov diffeomorphisms. (with C. Deninger) Abh.
Math. Sem. Hmbg. 73, 81-98 (2003). journal preprint
23. Mellin transforms of p-adic
Whittaker
functions. Math. Nachr. 261-262, 37-46 (2003). article
preprint
22. Mellin transforms of Whittaker
functions. Can. Math. Bull. Vol. 45 (3), 364-377, (2002).
article
preprint
21. Class numbers of orders in cubic
fields. J. Number Theory 95, 150-166 (2002). article
preprint
20. A Polya-Hilbert operator for
automorphic L-functions. Indag. Mathem. 12(2), 157-175 (2001). article
preprint
19. Harmonic Analysis on the quotient
Q* x
Q \ A* x A. Acta Mathematica Scientia 21, 21-28 (2001). journal
preprint
18. Differential operators on
equivariant
vector bundles over symmetric spaces. Electron. J. Diff. Eqns.,
Vol. 2000, No. 59, pp. 1-8 (2000). article
17. Geometric zeta-functions of
locally
symmetric spaces. American Journal of Mathematics. 122, vol 5,
887-926 (2000). article
preprint
16. Combinatorial L^2-determinants. Proc.
Edinburgh
Math.
Soc.
43,
185-194
(2000).
journal
preprint
15. On limit multiplicities of
automorphic
forms. (with Werner Hoffmann) Can. J. Math. 51, 952-976 (1999). article
14. Spectral estimates for towers of
noncompact quotients. (with Werner Hoffmann) Can. J. Math. 51,
266-293 (1999). article
13. Geometric zeta-functions on
p-adic
groups. Math. Japon. 47, No. 1, 1-17 (1998). (awarded the
JAMS-Prize 1998). journal
preprint
12. Regularized and
$L^2$-determinants. Proc. of the London Math. Soc. 76, 150-174
(1998). article
preprint
11. Equivariant torsion of locally
symmetric spaces. Pac. J. Math. 182, 205-227 (1998). article
10. A Lefschetz formula for flows. Math.
Res.
Letters
4,
513-520
(1997).
article
9. On the index of Dirac operators on
arithmetic quotients. Bull. Australian Math. Soc. 56, 489-497
(1997). journal
preprint
8. Torus actions on compact
quotients.
J. of Lie Theory 6, 179-190 (1996). article
7. A determinant formula for the
generalized Selberg zeta function. Quarterly J. Math. 47,
435-453 (1996). article
6. Product expansions for zeta
functions
attached to locally symmetric spaces of higher rank. Duke Math.
J. 82, 71-90 (1996). article
5. Higher torsion zeta functions. Adv.
Math.
110,
109-128
(1995).
article
4. Invariant Differential operators
are
linear combinations of symmetric positive ones. Math. Ann. 297,
535-538 (1993). article
3. Theta correspondences for
Eisenstein
series. (with Aloys Krieg) Math. Z. 208, 273-288 (1991). article
2. Invariant operators on higher
K-types. J. reine u. angew. Math. 412, 97-107 (1990). article
1. The Selberg trace formula and the
of
Ruelle zeta function for compact hyperbolics. Abh. Hamb. Math.
Sem. 59, 101-106 (1989). article
Books
Automorphe Formen
Springer-Verlag 2010.
Principles of Harmonic Analysis
with Siegfried Echterhoff
Springer-Verlag 2008.
A
first course in Harmonic Analysis
Springer-Verlag, 2002.
2nd Ed. 2005.