Papers and Preprints

Title   Co-author in:
On explicit bases in Sobolew spaces   H. Lange Exp. Math. 3 (1985), 25-39
On the analogue of the formula of Chowla and Selberg for real quadratic fields     J. Reine Angew. Math. 351 (1984), 171-191
The e-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups   W. Singhof Invent. Math. 78 (1984), 101-112
On Artin-Verdier duality for function fiels     Math. Z. 188 (1984), 91-100
On the d-invariant of compact solvmanifolds   W. Singhof J. Reine Angew. Math. 361 (1985), 47-49
Artin-Verdier duality for n-dimensional local fields involving higher algebraic K-sheaves   K. Wingberg J. Pure Appl. Algebra 43 (1986), 243-255
On the cohomology of nilpotent Lie algebras   W. Singhof Bull. Soc. Math. France 116 (1988), 3-14
An extension of Artin-Verdier duality to non-torsion sheaves     J. Reine Angew. Math. 366 (1986), 18-131
l-adic Lefschetz numbers of arithmetical schemes     J. Reine Angew. Math. 375/376 (1987), 326-345
Duality in the étale cohomology of one dimensional proper schemes and generalizations     Math. Ann. 277 (1987), 231-237
A proper base change theorem for non-torsionsheaves in étale cohomology     J. Pure Appl. Algebra 50 (1988), 231-237
On the Beilinson conjectures for elliptic curves with complex multiplication   K. Wingberg Beilinson's conjectures on special values of L-functions. Herausgegeben von M. Rapoport et al.
Perspectives in Math. Academic Press 1988, 249-272.
Higher regulators of elliptic curves with complex multiplication     Seminaire de Theorie des Nombres Paris 1986-87. Herausgegeben von Ch. Goldstein.
Progress in Math. Birkhäuser 1989
Higher regulators and Hecke L-series of imaginary quadratic fields I.     Invent. Math. 96 (1989), 1-69
Higher regulators and Hecke L-series of imaginary quadratic fields II.     Ann. Math. 132 (1990), 131-158
Formal groups and L-series   E. Nart Comm. Math. Helv. 65 (1990), 318-333
On the Γ-factors attached to motives     Invent. Math. 104 (1991), 245-261
The Beilinson conjectures   A.J. Scholl L-functions and Arithmetic. Herausgegeben von J. Coates und M. Taylor.
London Math. Soc. Lect. Notes 153 (1991), 173-209
Local L-factors of motives and regularized determinants     Invent. Math. 107 (1992), 135-150
Motivic decomposition of abelian schemes and the Fourier transform   J. Murre J. Reine Angew. Math. 422 (1991), 201-219
Motivic L-functions and regularized determinants     Jannsen, Kleimann, Serre (eds.). Seattle conference on motives 1991.
Proc. Symp. Pure Math. AMS 55 (1994), Part 1, 707-743
L-functions of mixed motives     Jannsen, Kleimann, Serre (eds.). Seattle conference on motives 1991.
Proc. Symp. Pure Math. AMS 55 (1994), Part 1, 517-525
Lefschetz trace formulas and explicit formulas in analytic number theory     J. Reine Angew. Math. 441 (1993), 1-15
Evidence for a cohomological approach to analytic number theory     Joseph, Rentschler (eds.): Proceedings of the EMS conference 1992, 491-510, Birkhäuser 1994
Motivic ε-factors at infinity and regularized dimensions     Indag. Math., N.S. 5 (4), (1994), 403-409
On Ext2 of motives over arithmetic curves E. Nart Amer. J. of Math. 117 (1995), 601-625
Higher order operations in Deligne cohomology   Invent. Math. 120 (1995), 289-315
A distribution theoretic interpretation of Guinand's functional equation for Cramér's V-function and generalizations M. Schröter J. London Math. Soc. (2) 52 (1995) 48-60
Isogenies of abelian varieties with mutiplications   Abh. Math. Sem. Univ. Hamburg 65 (1995), 249-257
Motivic L-functions and regularized determinants II.     F. Catanese (ed.), Arithmetic Geometry, Cortona, 1994
Symp. Math. 37, 138-156, Cambridge Univ. Press 1997
Extensions of mixed motives associated to symmetric powers of elliptic curves and to Hecke characters of imaginary quadratic fields     F. Catanese (ed.), Arithmetic Geometry, Cortona, 1994
Symp. Math. 37, 99-137, Cambridge Univ. Press 1997
On extensions of mixed motives     Collect. Math. 48, 1-2 (1997), 97-113
Deligne periods of mixed motives, K-theory and the entropy of certain Zn-actions     Journal of the AMS 10 (2), 259-281 (1997)
On Dynamical systems and their Possible Significance for Arithmetic Geometry     A. Reznikov, N. Schappacher (eds.), Regulators in Analysis, Geometry and Number Theory.
Progess in Mathematics 171, 29-87, Birkhäuser 1999
Some analogies between number theory and dynamical systems on filiated spaces     Doc. Math. J. DMV. Extra Volume ICM I (1998), 23-46
p-adic Mahler measures   A. Besser J. reine Angew. Math. 517 (1999), 121-132
How to recover an L-series from its values at almost all positive integers. Some remarks on a formula of Ramanujan     Proc. Indian Aca. Sci. 110 (2000), 121-132
On the Γ-factors of motives II     Doc. Math. 6 (2001), 209-219
A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas   W. Singhof Ann. Int. Fourier, Grenoble, 51, 1 (2001), 209-219
A note on dynamical trace formulas   W. Singhof M.L. Lapidus, V. van Frankenhuysen (eds.), Dynamical Spectral and Arithmetic Zeta-Functions
AMS Contemp. Math. 290 (2001), 41-55
A dynamical Lefschetz trace formula for algebraic Anosov diffeomorphisms ArXiv A. Deitmar Hamb. Math. Abh.
Number theory and dynamical systems on foliated spaces ArXiv   Jber. d. Dt. Math.-Verein. 103 (2001), 79-100
Real polaziable Hodge structures arising from foliations. ArXiv W. Singhof Annals of Global Analysis and Geometry 21 (2002), 377-399
On the nature of the "explicit formulas" in analytic number theory - a simple example ArXiv   S. Kanemitsu, C. Jia (eds.), Number Theoretic Methods - Future Trends. In: DEVM "Developements of Mathematics", Kluwer Academic Publ.
A note on arithmetical topology and dynamical systems ArXiv   S. Vostokov, Y. Zarhin (eds.), Algebraic Number Theory and Algebraic Geometry. Papers Dedicated to A.N. Parshin on the Occasion of his Sixtieth Birthday.
Contemporary Mathematics 300 (2002), 99-114
Exchanging the places p and ∞ in the Leopoldt conjecture ArXiv   J. Number Theory 114, 1 (2005, 1-17
Two-variable zeta functions and regularized products ArXiv   Doc. Math. extra volume: Kazuya Kato's Fiftieth Birthday 2003, 227-259
A motivic version of Pellikaan's two variable zeta function ArXiv F. Baldassarri, N. Naumann Diophantine geometry, vol. 4 of CRM Series, 35-43. Ed. Norm. 2007
Arithmetic Geometry and Analysis on Foliated Spaces ArXiv    
Vector bundles and p-adic representations I ArXiv A. Werner  
Vector bundles on p-adic curves and parallel transport ArXiv A. Werner Ann. Scient. Ec. Norm. Sup., 4e serie, 38 (2005), 553-597
Line bundles and p-adic characters ArXiv A. Werner G. van der Geer, B. Moonen, R. Schoof (eds.), Number Fields and Function Fields - Two Parallel Worlds, Progress in Mathematics 239, 101-131, Birkhäuser 2005
Fuglede-Kadison determinants and entropy for actions of discrete amenable groups ArXiv   J. Amer. Math. Soc. 19 (2006), 737-758
On Tannaka duality for vector bundles on p-adic curves ArXiv A. Werner Algebraic cycles and motives. Vol. 2, London Math. Soc. Lecture Note Ser. 344, 94-111, Cambridge Univ. Press 2007
A dynamical systems analogue of Lichtenbaum's conjectures on special values of Hasse-Weil zeta functions ArXiv    
Expansive algebraic actions of discrete residually finite amenable groups and their entropy ArXiv K. Schmidt Ergodic Theory Dynam. Systems 3 (2007), 769-786
p-adic entropy and a p-adic Fuglede--Kadison determinant ArXiv   Algebra, arithmetic, and geometry: in honor of Yu.I. Manin.Vol.I, Progr. Math. 269, 423-442, Birkh\"auser Boston Inc. 2009
Analogies between analysis on foliated spaces and arithmetic geometry ArXiv   Groups and analysis, London Math. Soc. Lecture Note Ser. 354, 174--190, Cambridge Univ. Press 2008
Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents ArXiv   J. Reine Angew. Math. 651, 165--185 (2011)
Vector bundles on p-adic curves and parallel transport II ArXiv A. Werner Algebraic and arithmetic structures of moduli spaces (Sapporo 2007), Adv. Stud. Pure Math. 58, 1-26, Math. Soc. Japan 2010
Invariant functions on p-divisible groups and the p-adic Corona problem ArXiv   Tokyo J. Math. 33, 393-406 (2010)
C*-algebras of Toeplitz type associated with algebraic number fields ArXiv J. Cuntz, M. Laca Math. Ann. 355 (2013), no. 4, 1383–1423.
Regulators, entropy and infinite determinants ArXiv   Regulators, 117–134, Contemp. Math., 571, Amer. Math. Soc., Providence, RI, 2012.
Representations attached to vector bundles on curves over finite and p-adic fields, a comparison ArXiv   Münster J. Math. 3 (2010), 29–41
Mahler measures and Fuglede-Kadison determinants ArXiv   Münster J. Math. 2 (2009), 45–63
The Hilbert-Polya strategy and height pairings ArXiv   Casimir force, Casimir operators and the Riemann hypothesis, 275–283, Walter de Gruyter, Berlin, 2010.
Invariant measures on the circle and functional equations ArXiv    
Horizontal factorizations of certain Hasse-Weil zeta functions - a remark on a paper by Taniyama ArXiv D. Wegner Rend. Semin. Mat. Univ. Padova 128 (2012), 91–108 (2013).
A remark on the structure of torsors under an affine group scheme ArXiv   Abh. Math. Semin. Univ. Hambg. 88 (2018), no. 1, 189–192
An alternative to Witt vectors ArXiv J. Cuntz Münster J. Math. 7 (2014), no. 1, 105–114
Witt Vector Rings and the Relative de Rham Witt Complex. With an Appendix by Umberto Zannier ArXiv J. Cuntz J. Algebra 440 (2015), 545–593
The Universal Deformation of the Witt Ring Scheme ArXiv Young-Tak Oh (Russian) Mat. Sb. 208 (2017), no. 6, 26--54; translation in Sb. Math. 208 (2017), no. 5-6, 764–790
Parallel transport for vector bundles on p-adic varieties ArXiv Annette Werner J. Algebraic Geom. 29 (2020), no. 1, 1–52.
p-adic limits of renormalized logarithmic Euler characteristics ArXiv   Groups Geom. Dyn. 14 (2020), no. 2, 427–467
\mathbb{Z}R and rings of Witt vectors W_S (R) ArXiv   Rend. Semin. Mat. Univ. Padova 142 (2019), 93–102.
Dynamical systems for arithmetic schemes ArXiv    
A Pro-algebraic Fundamental Group for Topological Spaces     Proceedings of the Steklov Institute of Mathematics, 2023, Vol. 320, 62-90
There is no "Weil-"cohomology theory with real coefficients for arithmetic curves ArXiv    
Weyl tensors, strongly regular graphs, multiplicative characters, and a quadratic matrix equation ArXiv

Theo Grundhöfer,
Linus Kramer

Primes, knots and periodic orbits ArXiv    
On the proalgebraic fundamental group of topological spaces and amalgamated products of affine group schemes ArXiv Michael Wibmer