William D. Banks

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20232026

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math.NT2024

A variant of the Linnik-Sprindzuk theorem for simple zeros of Dirichlet L-functions

William D. Banks

For a primitive Dirichlet character $X$ , a new hypothesis $R H_{s im}^{†} [X]$ is introduced, which asserts that (1) all simple zeros of $L (s, X)$ in the critical strip are located…

math.NT2024

Consecutive primes and IP sets

William D. Banks

For an infinite set M of natural numbers, let FS(M) be the set of all nonzero finite sums of distinct numbers in M. An IP set is any set of the form FS(M). Let p_n denote the n-th…