New upper bounds for the number of divisors function
نویسندگان
چکیده
منابع مشابه
Upper bounds for the prime divisors of Wendt's determinant
Let c ≥ 2 be an even integer, (3, c) = 1. The resultant Wc of the polynomials tc − 1 and (1 + t)c − 1 is known as Wendt’s determinant of order c. We prove that among the prime divisors q of Wc only those which divide 2c−1 or Lc/2 can be larger than θc/4, where θ = 2.2487338 and Ln is the nth Lucas number, except when c = 20 and q = 61. Using this estimate we derive criteria for the nonsolvabili...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2020
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm7792-6-2019