ul 2 00 6 Waring problem with the Ramanujan τ - function
نویسنده
چکیده
Let τ(n) be the Ramanujan τ -function. We prove that for any integer N the diophantine equation 74000
منابع مشابه
Arithmetic properties of the Ramanujan function
We study some arithmetic properties of the Ramanujan function τ(n), such as the largest prime divisor P(τ(n)) and the number of distinct prime divisors ω(τ(n)) of τ(n) for various sequences of n. In particular, we show that P(τ(n)) ≥ (logn)33/31+o(1) for infinitely many n, and P(τ(p)τ(p2)τ(p3)) > (1+o(1)) log log p log log log p loglog log log p for every prime p with τ(p) 6= 0.
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