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math.NT2009★ 9 cited
On Linnik's constant
Triantafyllos Xylouris
Let a and q be coprime natural numbers. In 1944 Linnik proved that the least prime in an arithmetic progression a mod q is less then C times q to the L. Since then the admissible v…
math.NT2007
Binomial Coefficients and the Distribution of the Primes
Triantafyllos Xylouris
Let omega(n) be the number of distinct prime factors dividing n and m > n natural numbers. We calculate a formula showing which prime numbers in which intervals divide a given bino…