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The Artin conjecture for some(S_5)-extensions

✍ Scribed by Frank Calegari

Book ID: 120748197
Publisher: Springer
Year: 2012
Tongue: English
Weight: 239 KB
Volume: 356
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s00208-012-0839-4

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Let a be an integer { &1 and not a square. Let P a (x) be the number of primes up to x for which a is a primitive root. Goldfeld and Stephens proved that the average value of P a (x) is about a constant multiple of xÂln x. Carmichael extended the definition of primitive roots to that of primitive \*