Matthew A. Papanikolas
Department of Mathematics
Texas A&M University
College Station, TX 77843-3368
(979) 845-1615 (office)
(979) 845-6028 (fax)
e-mail: map@math.tamu.edu
List of Publications
- Frobenius
difference equations and algebraic independence of zeta values in
positive equal characteristic
(with C.-Y.
Chang and J. Yu)
Submitted for publication, 14 pages. [ PDF | Arxiv.org ]
- Geometric
Gamma values and zeta values in positive characteristic
(with C.-Y.
Chang and J. Yu)
International Mathematics Research Notices, accepted for
publication, 15 pages. [ PDF | Arxiv.org ]
- Algebraic
relations among periods and logarithms of rank 2 Drinfeld modules
(with C.-Y. Chang)
American Journal of Mathematics, accepted for publication, 25 pages. [
PDF | Arxiv.org ]
- Algebraic
independence of arithmetic gamma values and Carlitz zeta values
(with C.-Y. Chang,
D. Thakur, and
J. Yu)
Advances in Mathematics, accepted for publication, 15 pages. [ PDF | Arxiv.org ]
- Tannakian
duality for Anderson-Drinfeld motives and algebraic
independence of Carlitz logarithms
Inventiones Mathematicae 171 (2008), 123-174. [ Journal | Arxiv.org ]
- On the torsion of
Jacobians of principal modular curves of level 3^n (with
C. Rasmussen)
Archiv der Mathematik (Basel) 88 (2007), 19-28.
[ Journal | Arxiv.org ]
- A
formula and a congruence for Ramanujan's tau-function
Proceedings of the American Mathematical Society 134 (2006),
333-341. [ Journal ]
- Extensions of
abelian varieties defined over a number field (with
N. Ramachandran)
Journal of Number Theory 112 (2005), 386-400. [ Journal | Arxiv.org ]
- Combinatorics
of traces of Hecke operators (with
S. Frechette and
K. Ono)
Proceedings of the National Academy of Sciences, USA, 101 (2004),
17016-17020. [ Journal ]
- Gaussian
hypergeometric functions and traces of Hecke operators
(with S. Frechette and K. Ono)
International Mathematics
Research Notices, 2004, no. 60, 3233-3262. [ Journal ]
- Determination
of the algebraic relations among special Gamma-values in positive
characteristic
(with G. W. Anderson and W. D. Brownawell)
Annals of Mathematics 160 (2004), 237-313. [
Journal | Arxiv.org ]
- p-adic properties of values of the modular
j-function (with K. Ono)
Galois Theory and Modular Forms, 357-366, Dev. Math., 11,
Kluwer, 2004.
- Higher
Weierstrass points on X_0(p) (with S. Ahlgren)
Transactions of the
American Mathematical Society 355 (2003), 1521-1535. [ Journal ]
- A
Weil-Barsotti formula for Drinfeld modules (with N. Ramachandran)
Journal of Number
Theory 98 (2003), 407-431. [ Journal
| Arxiv.org ]
- Universal
norms on abelian varieties over global function fields,
Journal of Number Theory 94 (2002), 326-342. [ Journal ]
- Quadratic twists of modular forms and elliptic curves (with K. Ono)
Number Theory for the Millennium III (Urbana, IL, 2000), 73-85,
A. K. Peters, 2002.
- Linear
independence of Gamma values in positive characteristic (with
W. D. Brownawell)
Journal für die reine und angewandte
Mathematik 549 (2002), 91-148.
[ Journal
| Arxiv.org ]
-
Canonical heights on elliptic curves in characteristic
p
Compositio Mathematica 122 (2000), 299-313.
[ Journal
| Arxiv.org ]
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Papanikolas
Last modified on October 4, 2009