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Number Theory Day Programme and Titles

Centre for Applicable Analysis and Number Theory

Number Theory Day 25th June 1997

Programme of events

8.00 Bus picks up Pretoria participants from the University of Pretoria

8.45-9.15 Registration

9.15-9.20 Opening by the Director of the Centre, John Knopfmacher

9.20-9.30 Announcements

Thereafter the two parallel sessions will begin. There will be the following tea and lunch breaks:

10.30-11.00 Morning Tea

12.30-2.00 Lunch

3.40-4.10 Afternoon Tea


Chair: John Knopfmacher

9.30-10.00 Peter Sarnak - n^2 alpha mod 1

10.00-10.30 Gary Mullen - Open problems in the application of finite fields

Morning Tea

Chair: Jeff Shallit

11.00-11.30 Stan Gurak - Period polynomials over finite fields

11.30-12.00 Arnold Knopfmacher - Part sizes in partitions and compositions of integers

12.00-12.30 Alf van der Poorten - Composition of forms, of ideals, and of continued fractions.


Chair: Gary Mullen

2.00-2.30 Lutz Lucht - Ramanujan expansions of arithmetic functions

2.30-3.00 Jeff Shallit - Number Theory and formal languages

3.00-3.30 James Ridley - Generalized Witt formulae and comma-free codes

Closing and afternoon tea


Chair: Lutz Lucht

9.30-10.00 Trevor Wooley - Sums of two squares in short intervals

10.00-10.30 Wolfgang Schmidt - New results on polynomial-exponential equations

Morning Tea

Chair: Peter Sarnak

11.00-11.30 Harold Stark - Modular forms for fields which aren t totally real

11.30-12.00 David Hayes - Base change for the conjecture of Brumer-Stark

12.00-12.30 Ram Abhyankar - Galois Theory of higher dimensional Carlitz- Drinfeld-Moore Modules


Chair: David Hayes

2.00-2.30 Audrey Terras - Can you hear the shape of a graph?

2.30-3.00 Yonatan Katznelson - Distribution mod 1 of numbers in a number field

3.00-3.30 Peter Elliot - Product of shifted primes

Closing and afternoon tea

3.30 -3.40 Closing

4.15 Bus collects participants and returns them to the University of Pretoria

6.00 Opening of Pretoria Conference

Talk Abstracts

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