Workshop on Combinatorial Number Theory DIMACS, February 5 - 9, 1996 Tentative Schedule All events will take place at DIMACS on the Busch Campus, in Piscataway, except for the Reception and Banquet which will be held at the Holiday Inn in South Plainfield. MONDAY, FEBRUARY 5, 1996 8:30 - 8:55 Continental Breakfast Buffet 8:55 - 9:00 Welcome from F. Roberts and A. Hajnal 9:00 - 9:40 P. Erdos Some of my problems and results in combinatorial number theory 10:00 - 10:30 L. Khachatrian Extremal problems under divisibility or intersection constraints 10:40 - 11:20 R. Ahlswede Number theoretical correlation inequalities 11:30 - 12:00 K. Alladi A theorem of Gollnitz and its pace in the theory of partitions 12:00 - 14:00 Lunch Buffet and Break 14:00 - 14:30 F. Chung Maximum subsets containing no solutions to $x+y=kz$ 14:40 - 15:20 A. Granville Squarefrees, sometimes as easy as $a$-$b$-$c$ 15:40 - 16:00 J. Haglund Rook theory, compositions, and zeta functions 16:05 - 16:25 K. Soundararajan Maximal sets of integers without distinct divisors 16:30 - J.L. Selfridge Problem Session TUESDAY, FEBRUARY 6, 1996 8:30 - 9:00 Continental Breakfast Buffet 9:00 - 9:50 Y. Bilu Addition theorems and Freiman's method 10:10 - 10:40 G. Freiman Structure theory of set addition: results and problems 10:50 - 11:20 F. Hennecart Additive bases and subadditive functions 11:30 - 12:00 M. Nathanson Extremal problems in additive number theory 12:00 - 14:00 Lunch Buffet and Break 14:00 - 14:40 Y. Hamidoune Some additive problems modulo $n$ 14:50 - 15:15 V. Lev Sharp estimates for the cardinality of sumsets 15:25 - 15:55 M. Helm On Sidon sets 16:05 - 16:25 X.-D. Jia On Sidon sequences 16:35 - 17:00 N. Hegyvari Completeness of certain sets WEDNESDAY, FEBRUARY 7, 1996 8:30 - 9:00 Continental Breakfast Buffet 9:00 - 9:40 M. Kolountzakis Additive complements of the primes and sets of similar growth 10:00 - 10:25 M. Davidson Number field versions of Hardy-Littlewood's diminishing ranges argument 10:30 - 11:00 H. Maier The coefficients of cyclotomic polynomials 11:10 - 11:30 M. Avidon On the distribution of primitive abundant numbers 11:40 - 12:00 K. Ford Some problems involving Euler's $\phi$-function 12:00 - 14:00 Lunch Buffet and Break 14:00 - 14:30 C. Pomerance Multiplicative independence for random integers 14:40 - 15:10 N. Calkin Random vectors of weight $k$ 15:30 - 16:00 A. Odlyzko On the distribution of gaps between consecutive primes 16:10 - 16:30 P. Berrizbeitia Further generalizations of the Rabin - Monier theorem 16:40 - 17:00 J. Grantham Frobenius pseudoprimes 19:00 - 22:00 Reception and Banquet Holiday Inn, South Plainfield THURSDAY, FEBRUARY 8, 1996 8:30 - 9:00 Continental Breakfast Buffet 9:00 - 9:40 V.T. Sos Extremal problems for sets of integers 9:50 - 10:20 A. Sarkozy On pseudorandom binary sequences 10:40 - 11:10 C.L. Stewart Congruences, trees and $p$-adic integers 11:20 - 12:00 C. Mauduit Automata and number theory 12:00 - 14:00 Lunch Buffet and Break 14:00 - 14:30 K. Ono Partitions and class numbers, I 14:40 - 15:00 L. Sze Partitions and class numbers, II 15:20 - 15:50 J. Spencer Discrepancy of arithmetic progressions 15:55 - 16:25 D. Coppersmith Finding small solutions to polynomials 16:30 - 17:00 J.-L. Nicolas The number of distinct sets represented by the partitions of $n$ 17:05 - 17:25 J.L. Selfridge Several simply-stated stumpers FRIDAY, FEBRUARY 9, 1996 8:30 - 9:00 Continental Breakfast Buffet 9:00 - 9:30 J. Nesetril Variations on a Pisier theme 9:40 - 10:10 J. Lagarias Multidimensional radix representations 10:30 - 11:10 J. Beck $\{n\sqrt{2}\}$ as a pseudorandom sequence 11:20 - 11:40 D. Panario Gauss periods: fast exponentiation, multiplicative orders and a pseudorandom generator

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Document last modified on November 2, 1998.