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Bounds for Waringʼs number mod in number fields

✍ Scribed by Alaʼ Jamil Alnaser

Book ID
118250646
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
190 KB
Volume
133
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

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