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 Elementary and Analytic Number Theory

Friday March 19, 1999, 8:30 a.m.10:50 a.m.
Special Session on Elementary and Analytic Number Theory, I
Room 245, Altgeld Hall
Organizers:
Harold G. Diamond, University of Illinois, Urbana diamond@math.uiuc.edu
A. J. Hildebrand, University of Illinois, Urbana hildebr@math.uiuc.edu

8:30 a.m.
Ramanujan's Second Unpublished Manuscript on the Partition Function.
Bruce C. Berndt*, University of Illinois at UrbanaChampaign
Ken Ono, Pennsylvania State University at University Park
(94111269)

9:00 a.m.
Two tenth order mock theta function identities in Ramanujan's lost notebook.
YounSeo Choi*, University of Illinois at UrbanaChampaign
(94111218)

9:30 a.m.
A certain quotient of etafunctions found in Ramanujan's lost notebook.
Bruce C Berndt, University of Illinois at UrbanaChampaign
Heng H Chan, National University of Singapore
SoonYi Kang*, University of Illinois at UrbanaChampaign
Liang C Zhang, Southwest Missouri State University
(94111194)

10:00 a.m.
Two dimensional vector spaces of partial $q$difference equations for basic hypergeometric functions.
Jaebum Sohn*, University of Illinois at UrbanaChampaign
Douglas C Bowman, University of Illinois at UrbanaChampaign
(94111285)

10:30 a.m.
Polynomial Continued Fractions.
Douglas C Bowman*, University of Illinois, ChampaignUrbana
James G McLaughlin, University of Illinois, UrbanaChampaign
(94141314)

Friday March 19, 1999, 2:30 p.m.6:20 p.m.
Special Session on Elementary and Analytic Number Theory, II
Room 245, Altgeld Hall
Organizers:
Harold G. Diamond, University of Illinois, Urbana diamond@math.uiuc.edu
A. J. Hildebrand, University of Illinois, Urbana hildebr@math.uiuc.edu

2:30 p.m.
The BrunHooley sieve.
Kevin Ford, Univ. of South Carolina
Heini Halberstam*, Univ. of Illinois
(94111221)

3:00 p.m.
Primes in short arithmetic progressions with widely spaced moduli.
Peter D.T.A. Elliott*, University of Colorado at Boulder.
(9411188)

3:30 p.m.
Primes in short intervals.
Roger C Baker*, BYU
(9411191)

4:00 p.m.
On exponential sums with multiplicative coefficients.
Gennady Bachman*, University of Nevada, Las Vegas
(9411189)

4:30 p.m.
An Asymptotic Formula for the Number of Smooth Values of a Polynomial.
Greg Martin*, University of Toronto
(94111142)

5:00 p.m.
The Prime Element Theorem on Additive Formations.
WenBin Zhang*, University of the West Indies, Mona, Kingston 7, JAMAICA
(9411147)

5:30 p.m.
Exponential sums over multiplicative groups of residues.
Sergei Vladimirovich Konyagin*, Moscow State University
(94111161)

6:00 p.m.
Lattice points close to a smooth curve and distribution of squarefull numbers in short intervals.
Ognian T Trifonov*, University of South Carolina
(9411141)

Saturday March 20, 1999, 8:30 a.m.10:50 a.m.
Special Session on Elementary and Analytic Number Theory, III
Room 245, Altgeld Hall
Organizers:
Harold G. Diamond, University of Illinois, Urbana diamond@math.uiuc.edu
A. J. Hildebrand, University of Illinois, Urbana hildebr@math.uiuc.edu

8:30 a.m.
On an Irreducibility Theorem of A.~Schinzel Associated with Coverings of the Integers .
Michael Filaseta*, University of South Carolina
Kevin Ford, University of South Carolina
Sergei Konyagin, Moscow State University
(9411187)

9:00 a.m.
Congruence properties of the Stern sequence.
Bruce Reznick*, University of Illinois at UrbanaChampaign
(94111279)

9:30 a.m.
Wythoff pairs, semigroups, and recurrences.
Kenneth Stolarsky*, University of Illinois at UrbanaChampaign
(9411190)

10:00 a.m.
Expressing a positive integer as the sum of a given number of odd squares.
Paul T. Bateman*, University of Illinois at UrbanaChampaign
(9411180)

10:30 a.m.
The Distribution of Generalized qAdditive Functions Modulo 1.
Abigail Hoit*, University of Illinois at UrbanaChampaign
(94111341)

Saturday March 20, 1999, 2:30 p.m.6:20 p.m.
Special Session on Elementary and Analytic Number Theory, IV
Room 245, Altgeld Hall
Organizers:
Harold G. Diamond, University of Illinois, Urbana diamond@math.uiuc.edu
A. J. Hildebrand, University of Illinois, Urbana hildebr@math.uiuc.edu

2:30 p.m.
Applications of number theory to cyclic codes and difference sets.
Ronald J. Evans*, UCSD
Henk Hollman, Philips Research Labs, Eindhoven
Christian Krattenthaler, University of Vienna
Qing Xiang, University of Delaware
(94111202)

3:00 p.m.
New results in comparative prime number theory.
Kevin Ford*, University of South Carolina
Richard H. Hudson, University of South Carolina
(94111122)

3:30 p.m.
Distribution of the RSA Generator.
John B Friedlander*, Univ. of Toronto
Daniel Lieman, Univ. of Missouri
Igor Shparlinski, Macquarie University
(94111301)

4:00 p.m.
The cubic moment of central values of automorphic Lfunctions.
Brian Conrey*, American Institute of Mathematics
Henryk Iwaniec, Rutgers University
(94111231)

4:30 p.m.
The geometry of badly approximable vectors.
Doug Hensley*, Texas A&M University
(94111223)

5:00 p.m.
On sums of four smooth squares.
Gergely Harcos*, Princeton University
(94111332)

5:30 p.m.
Sums of Nonnegative multiplicative functions over $y$smooth numbers.
Joung M Song*, University of Illinois at UrbanaChampaign
(9411173)

6:00 p.m.
Inverse problems for partition functions.
Yifan Yang*, University of Illinois
(94111233)

Sunday March 21, 1999, 8:30 a.m.12:20 p.m.
Special Session on Elementary and Analytic Number Theory, V
Room 245, Altgeld Hall
Organizers:
Harold G. Diamond, University of Illinois, Urbana diamond@math.uiuc.edu
A. J. Hildebrand, University of Illinois, Urbana hildebr@math.uiuc.edu

8:30 a.m.
Elementary Methods And Effective Results For Twin Primes.
Kent D. Boklan*, Baltimore, Maryland
(94111356)

9:00 a.m.
Nested Series and Iterated Integrals.
David M. Bradley*, University of Maine
(94111101)

9:30 a.m.
The partition function modulo N.
Scott D. Ahlgren*, Penn State University
(94111265)

10:00 a.m.
Gap Unification Theory: Comments on the Treatment of Partitions Via Their Gaps.
Dennis A. Eichhorn*, University of Illinois
(94111193)

10:30 a.m.
Computing 134 million coefficients of a series.
Dennis Eichhorn, U. of IL UrbanaChampaign
William F Galway*, U. of IL UrbanaChampaign
James A Sellers, Cedarville College
(94111340)

11:00 a.m.
New relations between the rank and the crank of partitions.
Frank G. Garvan*, University of Florida
(94111283)

11:30 a.m.
Algorithmic Solution of Thue Equations.
Robert F. Tichy*, Technical University Graz, Department of Mathematics
(9411164)

12:00 p.m.
Smooth Approximations to the Riemann Zeta Function.
Eugenio P. Balanzario*, Instituto de Matem\'aticas
(94111362)
Inquiries: meet@ams.org