AMS Sectional Meeting Program by Special Session
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1999 Spring Central Section Meeting
Urbana, IL, March 1821, 1999
Meeting #941
Associate secretaries:
Susan J Friedlander, AMS
susan@math.northwestern.edu
Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems

Friday March 19, 1999, 8:30 a.m.10:50 a.m.
Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems, I
Room 143, Altgeld Hall
Organizers:
Michael Bennett, University of Illinois, Urbana mabennett@math.uiuc.edu
Trevor Wooley, University of Michigan wooley@math.lsa.umich.edu

8:30 a.m.
Mahler's measure and the volume of hyperbolic manifolds .
David W. Boyd*, U. British Columbia
(9411134)

9:00 a.m.
On the integer Chebyshev constant and the asymptotic structure of the integer Chebyshev polynomials.
Igor E Pritsker*, Case Western Reserve University
(94111190)

10:00 a.m.
Diophantine approximation in the vector space ${\Bbb Q} + \alpha{\Bbb Q}$.
Edward B Burger*, Williams College & University of Colorado at Boulder
(94111225)

10:30 a.m.
Estimates for the Number of Polynomials with Bounded Degree and Bounded Mahler Measure.
SheyJey Chern, University of Texas at Austin
Jeffrey D Vaaler*, University of Texas at Austin
(94111181)

Friday March 19, 1999, 2:30 p.m.4:50 p.m.
Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems, II
Room 143, Altgeld Hall
Organizers:
Michael Bennett, University of Illinois, Urbana mabennett@math.uiuc.edu
Trevor Wooley, University of Michigan wooley@math.lsa.umich.edu

2:30 p.m.
Some Powerful Determinants.
Alfred J van der Poorten*, Centre for Number Theory Research, Macquarie University, Sydney, Australia
(94111203)

3:00 p.m.
New Transcendence Results for Function Fields.
W. Dale Brownawell*, Penn State
Laurent Denis, University of Lille, France
(94111312)

3:30 p.m.
$S$unit equations in function fields via the $ABC$theorem.
Julia Mueller*, Fordham University
(94111280)

4:00 p.m.
Criteria of algebraic independence and approximation by hypersurfaces.
Damien Roy*, University of Ottawa
Michel Laurent, Institut de Math\'ematiques de Luminy, CNRS
(94111155)

4:30 p.m.
Norm Form Inequalities in Three Variables.
Jeffrey L Thunder*, Northern Illinois University Dept. of Mathematical Sciences
(94111260)

Saturday March 20, 1999, 8:30 a.m.10:50 a.m.
Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems, III
Room 143, Altgeld Hall
Organizers:
Michael Bennett, University of Illinois, Urbana mabennett@math.uiuc.edu
Trevor Wooley, University of Michigan wooley@math.lsa.umich.edu

8:30 a.m.
Systems of Quadratic Forms defined over the $p$adic Numbers.
David B Leep*, University of Kentucky
(94111284)

9:00 a.m.
Artin's Conjecture for Forms of Degree 7 and 11.
Michael P Knapp*, University of Michigan
(9411139)

9:30 a.m.
Rational Lines on Hypersurfaces.
Scott T. Parsell*, University of Michigan
(9411140)

10:00 a.m.
Values of Positive Definite Quadratic Forms.
D. Eric Freeman*, University of Michigan
(9411123)

10:30 a.m.
Recursion, Cubic Irrationals and Pelltype Equations.
Karl Dilcher*, Dalhousie University
(94111197)

Saturday March 20, 1999, 2:30 p.m.4:50 p.m.
Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems, IV
Room 143, Altgeld Hall
Organizers:
Michael Bennett, University of Illinois, Urbana mabennett@math.uiuc.edu
Trevor Wooley, University of Michigan wooley@math.lsa.umich.edu

2:30 p.m.
Integer Apollonian Circle Packings.
Jeffrey C Lagarias*, A T & T Labs
(94111297)

3:00 p.m.
Higherorder Carmichael numbers.
Everett W. Howe*, Center for Communications Research, La Jolla
(94111192)

3:30 p.m.
A Diophantine problem arising in the use of Galois Descent .
Kristin E. Lauter*, University of Michigan
(94111201)

4:00 p.m.
Exponential sums with applications to codes over rings.
Judy L Walker*, University of Nebraska
(94111227)

4:30 p.m.
Schmidt's matrix normality conjecture.
Gavin Brown, Sydney University
William Moran, Flinders University
Andrew D Pollington*, BYU
(94111288)

Sunday March 21, 1999, 8:30 a.m.10:50 a.m.
Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems, V
Room 143, Altgeld Hall
Organizers:
Michael Bennett, University of Illinois, Urbana mabennett@math.uiuc.edu
Trevor Wooley, University of Michigan wooley@math.lsa.umich.edu

8:30 a.m.
On the central derivative of certain Hecke Lseries.
Tonghai Yang*, SUNY at Stony Brook
(94111361)

9:00 a.m.
Siegel modular forms, Hecke operators and theta series.
Lynne H Walling*, University of Colorado, Boulder
(94111186)

9:30 a.m.
Cantor sets and numbers with small partial quotients.
Stephen J. Astels*, University of Waterloo
(94111274)

10:00 a.m.
Equivariant compactifications of vector groups and heights.
Yuri Tschinkel*, Univ. of Illinois at Chicago
(94111154)

10:30 a.m.
The BrauerManin Obstruction for Curves.
Victor Scharaschkin*, University of Michigan
(9411138)
Inquiries: meet@ams.org