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The distribution of prime divisors in finitely generated domains

✍ Scribed by Florian Kainrath


Publisher
Springer
Year
1999
Tongue
English
Weight
83 KB
Volume
100
Category
Article
ISSN
0025-2611

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On the Order of Finitely Generated Subgr
✍ Francesco Pappalardi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 654 KB

Let 1 be a finitely generated subgroup of Q\* with rank r. We study the size of the order |1 p | of 1 mod p for density-one sets of primes. Using a result on the scarcity of primes p x for which p&1 has a divisor in an interval of the type [ y, y exp log { y] ({t0.15), we deduce that |1 p | p rΓ‚(r+1