Algebra & number theory
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- A complete generating-function characterization of Wilson primes: seven analytically proved lemmas reducing the Wilson criterion to R_4(p) ≡ B_{p-3}/3 - 274/135 mod p
- Congruences modulo powers of 5 and 7 for the crank and rank parity functions and related mock theta-functions
- Purple Mathematics: A Visual Framework for Numerical Identity, Determination, and the On-Line Detection of Primes
- Asymptotic behaviour of the v-number of homogeneous ideals