Thomas Wright

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math.NT2024

Prime Distribution and Siegel Zeroes

Thomas Wright

Let $I ¨ $ be a Dirichlet character mod $D$ with $L (s, I ¨ )$ its associated $L$ -function, and let $I ¨ (x, q, a)$ be, as usual, Chebyshev's prime-counting function for the primes of the ar…

math.NT2024

Carmichael numbers and least common multiples of $p - 1$

Thomas Wright

For a Carmichael number $n$ with prime factors $p_{1}, \dots, p_{m}$ , define $K = GC D [p_{1} - 1, \dots, p_{m} - 1],$ and let $C_{I^} ½ (X)$ denote the number of Carmichael numbers up to $X$ such that…

Prime Distribution and Siegel Zeroes

Carmichael numbers and least common multiples of p−1

Carmichael numbers and least common multiples of $p - 1$