Combinatorial Number Theory

Notes

• Sumsets in Z and Zp (Cauchy-Davenport & Vosper)
• Product Sets (Kempermann/Scherck)
• Subsequence Sums I (Davenport Constant)
• Subsequence Sums II (length = |G|)
• Subsequence Sums III (length = exp(G))
• Sumsets in Abelian groups (Kneser's Theorem)
• Bases of Many Weights (Schrijver-Seymour)
• The Polynomial Method (Dias da Silva-Hamidoune)
• Sumsets and Connectivity of Symmetric Graphs