Veröffentlichungen seit 1996

A:

• Cécile Armana
  Coefficients of Drinfeld modular forms and Hecke operators
  J. Number Theory 131 (2011), 1435-1460
  
  
• Cécile Armana
  Sur les symboles modulaires de Manin-Teitelbaum pour F_q(T) (in French)
  C. R. Math. Acad. Sci. Paris 347 (2009), 845-848

• Cécile Armana
  Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld (in French)
  C. R. Math. Acad. Sci. Paris 347 (2009), 705-708

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 (2008), no. 1, 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
  On the field generated by the periods of a Drinfeld module
  Arch. Math. 113 (2019), 581-591, DOI 10.1007/s00013-019-01379-6

• Ernst-Ulrich Gekeler
  On Drinfeld modular forms of higher rank IV: Modular forms with level
  J. Number Theory (to appear)

• Ernst-Ulrich Gekeler
  On Drinfeld modular forms of higher rank III: The analogue of the k/12-formula
  J. Number Theory, 192 (2018), 293-306, DOI 10.1016/j.jnt.2018.04.018

• Ernst-Ulrich Gekeler
  On Drinfeld modular forms of higher rank II
  J. Number Theory (to appear)

• Ernst-Ulrich Gekeler
  On Drinfeld modular forms of higher rank
  J. Théorie de Nombres Bordeaux, 29 (2017), 875-902

• Ernst-Ulrich Gekeler
  Towers of GL(r)-type of modular curves
  J. Reine Angew. Math, 754 (2019), 87-141, DOI 10.1515/crelle-2017-0012

• Ernst-Ulrich Gekeler
  The Galois image of twisted Carlitz modules
  J. Number Theory 163 (2016), 316-330

• Ernst-Ulrich Gekeler
  Point configurations on the projective line over a finite field
  Manuscripta math. 144 (2014), 401-420
  
  
• Ernst-Ulrich Gekeler und Philipp Stopp
  On the zeroes of certain periodic functions over valued fields of positive characteristic
  J. Number Theory 133 (2013), no. 3, 940-954
  
  
• Ernst-Ulrich Gekeler
  On the zeroes of Goss polynomials
  Trans. Amer. Math. Soc. 365 (2013), no. 3, 1669-1685
  
  
• Ernst-Ulrich Gekeler
  Zeroes of Eisenstein series for principal congruence subgroups over rational function fields
  J. Number Theory 132 (2012), 127-143
  
  
• Ernst-Ulrich Gekeler
  Zero distribution and decay at infinity of Drinfeld modular coefficient forms
  Int. J. Number Theory 7 (2011), 671-693
  

• Ernst-Ulrich Gekeler
  Para-Eisenstein series for  the modular group GL(2,IF_q[T])
  Taiwanese Jour. Math. 15 (2011), 1463-1475
  

• Ernst-Ulrich Gekeler
  Frobenius actions on the de Rham cohomology of Drinfeld modules
  Trans. Amer. Math. Soc. 363 (2011), no. 6, 3167-3183
  
  
• Ernst-Ulrich Gekeler
  Statistics about elliptic curves over finite prime fields
  manuscripta mathematica 127 (2008), 55-67
   
• Ernst-Ulrich Gekeler
  Frobenius distributions of Drinfeld modules over finite fields
  Trans. Amer. Math. Soc. 360 (2008), 1695-1721
  
  
• Ernst-Ulrich Gekeler
  The distribution of group structures on elliptic curves over finite prime fields
  Documenta Math. 11 (2006), 119-142
  
  
• 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, 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
  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
  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:

• Johannes Lengler
  The Cohen-Lenstra heuristic: methodology and results
  J. Algebra 323 (2010), no. 10, 2960-2976
  
  
• Johannes Lengler
  A combinatorial interpretation of the probabilities of $p$-groups in the Cohen-Lenstra measure
  J. Number Theory 128, Issue 7 (2008), 2070-2084
  
  
• Bartolomé López
  A congruence for the coefficients of the Drinfeld  discriminant function
  C.R. Acad. Sci., Paris, I, Math. 330 (2000), No.12, 1053-1058
   
• Bartolomé López  
  A special integral basis for a plane model of the Drinfeld modular curve $X_1(n) mod T$
  Manuscripta math. 99 (1999), 55-72
  

P:

• Mihran Papikian
  On finite arithmetic simplicial complexes
  Proceedings of the American Mathematical Society 139 (2011), 111-124
  
  
• Mihran Papikian
  On generators of arithmetic groups over function fields
  Int. J. Number Theory 7 (2011), 1573-1587
  
  
• Mihran Papikian
  On Jacquet-Langlands isogeny over function fields
  J. number theory 131 (2011), 1149-1175
  
  
• Mihran Papikian 
  Endomorphisms of exceptional D-elliptic sheaves
  Math. Z. 266 (2010), no. 2, 407-423
  

• Mihran Papikian
  Modular varieties of D-elliptic sheaves and the Weil-Deligne bound
  Journal für die reine und angewandte Mathematik 626 (2009), 115-134

• 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
  Modular curves of D-elliptic sheaves are asymptotically optimal
  Mathematical Research Letters 15 (2008), 525-536
  
  
• Mihran Papikian 
  On eigenvalues of p-adic curvature
  Manuscripta Mathematica 127 (2008), 397-410
  
  
• 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 
  
  
• Andreas Schweizer
  Strong Weil curves over Fq(T) with small conductor
  J. Number Theory 131 (2011), 285-299
  
  
• 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
  On Singular and Supersingular Invariants of Drinfeld Modules,
  Ann. de la Faculté des Sciences de Toulouse 6 (1997), 319-334
  
  
• 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
  
  
• Ernst-Ulrich Gekeler und Philipp Stopp
  On the zeroes of certain periodic functions over valued fields of positive characteristic
  J. number theory 133 (2013), no. 3, 940-954
  
  

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.

V:

• Enrico Varela Roldán
  Representation theory of Drinfeld modular forms of level T
  J. Number Theory 172 (2017), 63-92

• Enrico Varela Roldán
  Arithmetic of Eisenstein series of level $T$ for the function field modular group $GL(2,F_q[T])$
  J. Number Theory 167 (2016), 180-201

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