Preprints Papers 75. A spectral theorem for compact representations and non-unitary cusp forms. Res. number theory 10, 77 (2024). https://doi.org/10.1007/s40993-024-00565-y 74. Weighted prime geodesic theorems. European J. Math. 9, 52 (2023) 73. Benjamini-Schramm convergence and zeta functions.  Res. Math. Sci. 7 (2020), no. 3, Paper No. 27 72. Building lattices and zeta functions. (with Ming-Hsuan Kang and Rupert McCallum) Adv. in Geom. 20, no. 2, 249 - 272  (2020) 71. A prime geodesic theorem for SL3(Z). (with Yasuro Gon and Polyxeni Spilioti) Forum Math. 31, No. 5, 1179--1201 (2019) 70. Spectral theory for non-unitary twists. Hiroshima Math. J. 49, No. 2, 235--249 (2019) 69. Benjamini-Schramm and spectral convergence. L'Enseignement Mathématique (2) 64, No 3-4, 371--394 (2018) 68. Tree-lattice zeta functions and class numbers. (with Ming-Hsuan Kang) Michigan Math. J. 67,  617-645 (2018) 67. On Haar systems for groupoids. Z. Anal. Anwend. 37,  3, 269–275 (2018) 66. A prime geodesic theorem for higher rank buildings. (with Rupert McCallum) Kodai Math. J. 41, 444-455 (2018) 65. Eisenstein series with non-unitary twists. (with Frank Monheim) J. Korean Math. Soc. 55, No. 3. 507-530 (2018) 64. Closed geodesics and bounded gaps. Math. Z. 287(1), 547-554 (2017). 63. Belian categories. Absolute arithmetic and F1-geometry, 39-80,  Eur. Math. Soc., Zürich, 2016. 62. A trace formula for non-unitary representations of a uniform lattice. (with Frank Monheim) Math. Z. 284(3), 1199-1210 (2016). 61. Zeta functions of F1-buildings. (with Ming-Hsuan Kang) J. Math. Soc. Japan. Volume 68, Number 2, 807-822 (2016). 60. Trace class groups. (with Gerrit van Dijk) Journal of Lie Theory 26, No. 1, 269-291 (2016). 59. Ihara zeta functions of infinite weighted graphs. SIAM J. discrete Math. Vol. 29, No. 4, 2100-2116 (2015). 58. Two application of nets. (with Ralf Beckmann) Ann. Funct. Anal. 6. no. 3, 176-190 (2015). 57. Counting and zeta functions over F1. (with Shin-Ya Koyama and Nobushige Kurokawa) Abh. Math. Sem. Hamburg. Vol. 85, Issue 1, 59-71 (2015). 56. Geometric zeta functions for higher rank p-adic groups. (with Ming-Hsuan Kang) Illinois J. Math. Vol. 58, Issue , 719-738 (2014). 55. Ihara zeta functions and class numbers. Adv. Studies in Contemp. Math. Vol. 24, Issue 4, 439-450 (2014). 54. Fourier expansion along geodesics on Riemann surfaces. Central European Journal of Mathematics 12, No 4, 559-573 (2014). 53. Congruence schemes. International Journal of Math. Vol. 24, Issue 2 [46 pages] (2013).  52. Iterated Integrals and higher order invariants. (with Ivan Horozov) Can. J. Math. 65, 544-552 (2013). 51. Belian categories. Far East J. Math. Sci. 70, Issue 1, 1-46 (2012). 50. Invariants, cohomology, and automorphic forms of higher order. Selecta Math. New Ser. 18, No 4, 855-883 (2012). 49. Holomorphic torsion and closed geodesics. J. Fixed Point Theory Appl. 9, 25-53 (2011). 48. Lewis-Zagier Correspondence for higher order forms. Pacific Journal of Mathematics 249.1, 11-21 (2011). 47. Higher order invariants in the case of compact quotients. Central European Journal of Mathematics 9.1, 85-101 (2011). 46. A new multiple Dirichlet series induced by a higher order form. (with Nikolaos Diamantis) Acta Arithmetica 142.4, 303-309 (2010). 45. Higher order group cohomology and the Eichler-Shimura map. J. reine u. angew. Math. 629, 221-235 (2009). 44. Automorphic forms of higher order. (with Nikolaos Diamantis) Journal of the London Mathematical Society. 80, 18-34 (2009). 43. A prime geodesic theorem for higher rank II: singular geodesics. Rocky Mountain J. Math. 39, No. 2, 485-507 (2009). 42. F1-schemes and toric varieties. Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 517-525 (2008). 41. Absolute zeta functions. (with S. Koyama and N. Kurokawa) Proc. Japan Acad. Ser. A Math. Sci. 84, no. 8, 138-142 (2008). 40. A prime geodesic theorem for SL(4). (with Mark Pavey) Ann. Global Anal. Geom. 33, No. 2, 161-205 (2008). 39. A Lewis Correspondence for submodular groups. (with J. Hilgert) Forum Math. 19, no. 6, 1075-1099 (2007). 38. Lefschetz formulae for p-adic groups. Chinese Ann. Math. Ser. B. 28, no. 4, 463-474 (2007). 37. A higher rank Lefschetz formula. J. Fixed Point Theory Appl. 2, 1-40 (2007). 36. Class numbers of orders in complex quartic fields. (with Mark Pavey) Math. Ann. 338, no. 3, 767-799 (2007).  35. Generalised Selberg zeta functions and a conjectural Lefschetz formula. Proceedings of Symp. in Pure Math. 75, 177- 190 (2006).  34. Remarks on zeta functions and K-theory over F1. Proc. Japan Acad. Ser. A Math. Sci. 82 no 8, 141-146 (2006).  33. Invariant triple products. Int. J. Math. Sci., Art. ID 48274, 22 pp. (2006).  32. A discrete Lefschetz formula. Topology Appl., Volume 153, Issue 14 , 2363-2381 (2006). 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). 30. Asymptotics of class numbers. (with W. Hoffmann) Invent. Math. 160, 647 - 675 (2005). 29. Schemes over F1. Progress in Mathematics, Vol. 239 Geer, Moonen, Schoof (Eds.) Birkäuser 2005, 87-100.  28. Cohomology of arithmetic groups with infinite dimensional coefficient spaces. (with J. Hilgert) Doc. Math. 10, 199-216 (2005). 27. A prime geodesic theorem for higher rank spaces. Geometric and Functional Analysis 14, 6, 1238-1266 (2004). 26. Panorama of zeta functions. in: Erich Kähler: Mathematical Works. de Gruyter 2003. 25. A dynamical Lefschetz trace formula for algebraic Anosov diffeomorphisms. (with C. Deninger) Abh. Math. Sem. Hmbg. 73, 81-98 (2003). 24. Mellin transforms of p-adic Whittaker functions. Math. Nachr. 261-262, 37-46 (2003).  23. Lefschetz formulae and zeta functions. Journal of the Ramanujan Mathematical Society 18, 139-152 (2003).  22. Mellin transforms of Whittaker functions. Can. Math. Bull. Vol. 45 (3), 364-377, (2002).  21. Class numbers of orders in cubic fields. J. Number Theory 95, 150-166 (2002).  20. A Polya-Hilbert operator for automorphic L-functions. Indag. Mathem. 12(2), 157-175 (2001).  19. Harmonic Analysis on the quotient Q* x Q \ A* x A. Acta Mathematica Scientia 21, 21-28 (2001). 18. Geometric zeta-functions of locally symmetric spaces. American Journal of Mathematics. 122, vol 5, 887-926 (2000). 17. Differential operators on equivariant vector bundles over symmetric spaces. Electron. J. Diff. Eqns., Vol. 2000, No. 59, pp. 1-8 (2000). 16. Combinatorial L^2-determinants. Proc. Edinburgh Math. Soc. 43, 185-194 (2000). 15. On limit multiplicities of automorphic forms. (with Werner Hoffmann) Can. J. Math. 51, 952-976 (1999). 14. Spectral estimates for towers of noncompact quotients. (with Werner Hoffmann) Can. J. Math. 51, 266-293 (1999). 13. Equivariant torsion of locally symmetric spaces. Pac. J. Math. 182, 205-227 (1998). 12. Geometric zeta-functions on p-adic groups.  Math. Japon. 47, No. 1, 1-17 (1998). (awarded the JAMS-Prize 1998) 11. Regularized and L2-determinants. Proc. of the London Math. Soc. 76, 150-174 (1998). 10. On the index of Dirac operators on arithmetic quotients. Bull. Australian Math. Soc. 56, 489-497 (1997). 9. A Lefschetz formula for flows. Math. Res. Letters 4, 513-520 (1997). 8. A determinant formula for the generalized Selberg zeta function. Quarterly J. Math. 47, 435-453 (1996). 7. Torus actions on compact quotients. J. of Lie Theory 6, 179-190 (1996). 6. Product expansions for zeta functions attached to locally symmetric spaces of higher rank. Duke Math. J. 82, 71-90 (1996). 5. Higher torsion zeta functions. Adv. Math. 110, 109-128 (1995). 4. Invariant Differential operators are linear combinations of symmetric positive ones. Math. Ann. 297, 535-538 (1993). 3. Theta correspondences for Eisenstein series. (with Aloys Krieg) Math. Z. 208, 273-288 (1991). 2. Invariant operators on higher K-types.. J. reine u. angew. Math. 412, 97-107 (1990). 1. The Selberg trace formula and the of Ruelle zeta function for compact hyperbolics. Abh. Hamb. Math. Sem. 59, 101-106 (1989).