Collates recent advances in combinatorial and additive number theory from distinguished mathematicians in the field Points to future areas of research All papers feature original, peer-reviewed content

Autorentext
Melvyn B. Nathanson is a Professor of Mathematics at the City University of New York.

Zusammenfassung

Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling.

Inhalt
liam J. Keith, \Partitions into parts simultaneously regular, distinct, and/or flat".- 11. Mizan R. Khan and Karen M. Rogers, "An exposition of White's characterization of empty lattice tetrahedra".- 12. Urban Larsson, \A misèere-play ?-operator".- 13. Jaewoo Lee, "A new proof of Khovanski's theorem on the geometry of sumsets.- 14. >;Kieren MacMillan and Jonathan Sondow, "Initial sums of the Legendre symbol: Is min+max 0 ?".- 15. Brendan Murphy and Giorgis Petridis, "A second wave of expanders in finite fi elds".- 16. Melvyn B. Nathanson, "The Erd}os paradox".- 17. Melvyn B. Nathanson, "Limits and decomposition of de Bruijn's additive systems".- 18. Jonathan Sondow, "Extending Babbage's (non-)primality tests".- 19. Zhi-Wei Sun, "Conjectures on representations involving primes".