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Heilbronn’s class-number theorem

✍ Scribed by Chowla, S.

Book ID
112976427
Publisher
Springer-Verlag
Year
1934
Tongue
English
Weight
138 KB
Volume
1
Category
Article
ISSN
0370-0089

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Heilbronn's conjecture on Waring's numbe
Heilbronn's conjecture on Waring's number (mod p)
✍ James Arthur Cipra; Todd Cochrane; Christopher Pinner 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 133 KB

Let p be a prime k | p -1, t = (p -1)/k and γ (k, p) be the minimal value of s such that every number is a sum of s kth powers (mod p). We prove Heilbronn's conjecture that γ (k, p) k 1/2 for t > 2. More generally we show that for any positive integer q, γ (k, p) C(q)k 1/q for φ(t) q. A comparable l