Arbeitsgruppe Gekeler,
Universität des Saarlandes
Veröffentlichungen der letzten Zeit
B:
- S.H.Bae, E.-U.Gekeler, P. Kang, L.S.Yin
Anderson's double
complex and Gamma monomials for rational function fields
Trans. Amer. Math. Soc. 355
(2003), 3463-3474
- S.H.Bae, E.-U.Gekeler, L.S.Yin
Distributions and $\Gamma$-monomials
Math. Ann. 321 (2001),
463-478
C:
- So Young Choi, Ja Kyung Koo
Estimation of Genus
of Arithmetic Curves and Applications
Ramanujan J. 15, no. 1 (2008), 1-17
- So Young Choi, Kuk Jin Hong, Daeyeol Jeon
On Plane Models for
Drinfeld Modular Curves
J. Number Theory 119 (2006), 18-27
- So Young Choi
Relative integral
bases over a ray class field
Bull. Korean Math.
Soc. 43 (2006), 77-80
- So Young Choi
The values of modular functions and modular
forms
Canad. Math.
Bull. 49 (2006), 526-535
- So Young Choi
Some formulas for the coefficients of
Drinfeld modular forms
J. Number
Theory 116 (2006),159-167
- Jaehyun Ahn, So Young Choi and Hwanyup Jung
Class number formulae in the form of a
product of determinants in function fields
J. Aust. Math. Soc. 78 (2005),
227-238
- So Young Choi and Ja Kyung Koo
Class fields from the fundamental Thompson
series of level $N=o(g)$
J. Korean Math. Soc. 42 (2005),
203-222
G:
- Max Gebhardt
Construction of function fields with many
rational places via the Carlitz module
Manuscripta math. 107 (2002), 89-99
- Ernst-Ulrich Gekeler
Frobenius actions on the de Rham
cohomology of Drinfeld modules
submitted
- Ernst-Ulrich Gekeler
Statistics about elliptic curves over
finite prime fields
manuscripta mathematica 127 (2008), 55-67
- Ernst-Ulrich Gekeler
The distribution of group structures on
elliptic curves over finite prime fields
Documenta Math. 11 (2006), 119-142
- Ernst-Ulrich Gekeler
Frobenius distributions of Drinfeld
modules over finite fields
Trans Amer. Math.
Soc. 360 (2008), 1695-1721
- Ernst-Ulrich Gekeler
Asymptotically optimal towers of curves over
finite fields
Algebra, Arithmetic and Geometry with Applications, 325-336,
C. Christensen et al. (eds.), Springer-Verlag, New York, 2004
- Ernst-Ulrich Gekeler
Frobenius distributions of elliptic curves
over finite prime fields
Int. Math. Res. Notes 37 (2003), 1999-2018
- Ernst-Ulrich Gekeler
A series of new congruences for Bernoulli
numbers and Eisenstein series
J. Number Theory 97 (2002), no. 1, 132--143
- Ernst-Ulrich Gekeler
Some observations on the arithmetic of
Eisenstein series for the modular group SL(2,Z)
Arch. Math. 77 (2001), 5-21
- Ernst-Ulrich Gekeler
Finite modular forms
Finite Fields Appl. 7 (2001), no 4, 553-572
- Ernst-Ulrich Gekeler
Invariants of some algebraic curves
related to Drinfeld modular curves
J. Number Theory 90 (2001), 166-183
- Ernst-Ulrich Gekeler
Cuspidal divisor class groups of modular
curves
in: Algebraic number theory and Diophantine analysis (Graz, 1998),
163--189, de Gruyter, Berlin, 2000
- Ernst-Ulrich Gekeler
Drinfeld modules and local fields of
positive characteristic
in: Invitation to higher local fields (Münster, 1999), 239--253
(electronic), Geom. Topol. Monogr., 3, Geom. Topol. Publ., Coventry,
2000
- Ernst-Ulrich Gekeler
A note on the finiteness of certain
cuspidal divisor class groups,
Isr. J. Math 118 (2000), 357-368
- Ernst-Ulrich Gekeler
Growth order and congruences of coefficients
of the Drinfeld discriminant function
J. Number Theory 77 (1999), 314-325
- Ernst-Ulrich Gekeler, Rainer Schulze-Pillot-Ziemen
Zahlentheorie und fehlerkorrigierende
Nachrichtenübertragung
Magazin Forschung Univ. des Saarlandess, 2/1999, 24-35
- Ernst-Ulrich Gekeler
A survey on Drinfeld modular forms
Turk. J. Math 23 (1999), 485-518
- Ernst-Ulrich Gekeler
Some new results on modular forms for
$GL(2,F_q[T])$
Contemp. Math. 224 (1999), 111-141
- Ernst-Ulrich Gekeler
Local and global ramification properties of
elliptic curves in characteristics two and three
in Matzat, Greuel, Hiss (eds.): Algorithmic Algebra and Number Theory,
Springer Verlag, Heidelberg 1998
- Ernst-Ulrich Gekeler
On the cuspidal divisor class group of a Drinfeld modular curve
Doc. Math. J. DMV 2 (1997), 351-374
- Ernst-Ulrich Gekeler, Rita Leitl und Bodo Wack
Zeta functions of a class of elliptic
curves over a rational function field of characteristic two
Math. Comp. 68 (1999), 823-833
- Ernst-Ulrich Gekeler
Highly ramified pencils of elliptic curves
in characteristic two,
Duke Math. J. 89 (1997), 95-107
- Ernst-Ulrich Gekeler
On the Drinfeld discriminant function
Comp. Math. 106 (1997), 181-202
- Ernst-Ulrich Gekeler
Jacquet-Langlands theory over K and
relations with elliptic curves
Proceedings of the Workshop on "Drinfeld modules, modular schemes and
applications. Alden Biesen 1996", World Scientific Publ. Company,
Singapore 1997
- Ernst-Ulrich Gekeler und Brian H. Snyder
Drinfeld modules over finite fields
Proceedings of the Workshop on "Drinfeld modules, modular schemes and
applications. Alden Biesen 1996". World Scientific Publ. Company,
Singapore 1997
- Ernst-Ulrich Gekeler und Marc Reversat
Jacobians of Drinfeld Modular Curves
J. Reine Angew. Math. 476 (1996), 27-93
K:
- Alice Keller
Function Fields with Many Rational Places
Proceedings of the 5th International Conference on Finite fields and
applications (Augsburg, 1999), Springer 2001, p. 293-303
- Ralf Krömer
Tool and Object. A History and Philosophy
of Category Theory. 367 + xxxiv.
Birkhäuser-Verlag
Basel-Boston-Berlin 2007
L:
P:
- Mihran Papikian
Endomorphisms
of exceptional D-elliptic sheaves
submitted
- Mihran Papikian
Genus
formula for modular curves of D-elliptic sheaves
Arch. Math. (Basel) 92 (2009), no. 3, 237--250
- Mihran Papikian
On
hyperelliptic modular curves over function fields
Arch. Math. (Basel) 92 (2009), no. 4, 291--302
- Mihran Papikian
Trees,
quaternion algebras and modular curves
submitted
- Mihran Papikian
Abelian
subvarieties of Drinfeld Jacobians and congruences modulo the
characteristic
Math. Annalen 337 (2007),
139-157
- Mihran Papikian
On the
torsion of optimal elliptic curves over function fields
Math. Res. Lett.
13 (2006), 321-331
R:
- Imke Rust
Arithmetically defined representations of
subgroups of type $SL_2(F_q)$
Finite Fields Appl. 4 (1998), 283-306
- Imke Rust und Ortwin Scheja
A guide to constructive class field theory
over global function fields
Proceedings of the Workshop on "Drinfeld modules, modular schemes and
applications. Alden Biesen 1996". World Scientific Publ. Company,
Singapore 1997
S:
- Ortwin Scheja
On zeta functions of arithmetically defined
graphs
Finite Fields Appl. 5 (1999), 314-343
- Ortwin Scheja und Michael Kohlhase
Multi-valued higher-order resolution
J. Appl. Non-class. Logics 9 (1999), No.4, 155-178
- Günter Scheja, Ortwin Scheja und Uwe Storch
On regular sequences of binomials
Manuscripta math. 98 (1999), 115-132
- A.W. Mason and Andreas Schweizer
Non-standard automorphisms and
non-congruence subgroups of $SL_2$ over Dedekind domains contained in
function fields,
J. Pure Appl. Algebra 205 (2006), 189-209
- Andreas Schweizer
On the $p^e$-torsion of elliptic curves
and elliptic surfaces in characteristic $p$,
Trans. Amer. Math. Soc. 357 (2005), 1047-1059
- Andreas Schweizer
Shared values of meromorphic functions on
compact Riemann surfaces,
Arch. Math. (Basel) 84 (2005), 71-78
- A.W. Mason and Andreas Schweizer
The minimum index of a non-congruence
subgroup of $SL_2$ over an arithmetic domain. II: The rank zero cases,
J. London Math. Soc. 71 (2005), 53-68
- Andreas Schweizer
Hyperelliptic Drinfeld Modular Curves
(revised version)
Proceedings of the Workshop on "Drinfeld modules, modular schemes and
applications. Alden Biesen 1996". World Scientific Publ. Company,
Singapore 1997
- Andreas Schweizer
Modular Automorphisms of the Drinfeld
Modular Curves $X_0(n)$,
Proceedings of the Journées Arithmétiques 1995,
Collectanea Mathematica Volume XLVIII 1997, Barcelona, p. 209-216
- Andreas Schweizer
On Singular and Supersingular Invariants
of Drinfeld Modules,
Ann. de la Faculté des Sciences de Toulouse 6 (1997), 319-334
T:
- Ulrich Tipp
Local height pairings of Heegner points on
Drinfeld modular curves.
Proceedings of the Workshop on "Drinfeld modules, modular schemes and
applications. Alden Biesen 1996". World Scientific Publ. Company,
Singapore 1997.
W:
- Bodo Wack und Bartolomé López
On the expansion of a product formula
related with the Drinfeld discriminant function.
J. Number Theory 74 (1999), 298-306
Y:
- Linsheng Yin
Carlitz-Hayes
plus Anderson's Epsilon
J. Reine Angew. Math. 571 (2004),
19-37
- Linsheng Yin
Stickelberger ideals and divisor class
numbers
Math. Zeit. 239 (2002), 425-440
- Linsheng Yin
Stickelberger ideals and relative class
numbers in function fields
J. Number Theory 81 (2000), 162-169
- Linsheng Yin
Distributions on a global fields
J. Number Theory 80 (2000), 154-167
- Linsheng Yin
A note on Rubin's methods of the use of two
Euler systems
Science Sinica 43 (2000), 792-794