Thomas Wright

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20232026

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math.NT2026

Primes in arithmetic progressions and Siegel zeroes

Thomas Wright

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

math.NT2026

$(a, a)$ -Carmichael numbers and greatest common divisors of $p - a$

Thomas Wright

Define an $(a, a)$ -Carmichael number to be a squarefree natural number $n$ such that $p ∣ n$ implies $p - a ∣ n - a$ . For such a number $n$ with prime factors $p_{1}, \dots, p_{m}$ , defi…

Primes in arithmetic progressions and Siegel zeroes

(a,a)-Carmichael numbers and greatest common divisors of p−a

$(a, a)$ -Carmichael numbers and greatest common divisors of $p - a$