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math.NT2025
The relative entropy of primes in arithmetic progressions is really small
Alex Cowan
Fix a modulus . One would expect the number of primes in each invertible residue class mod to be multinomially distributed, i.e. for each to behave li…
math.NT2025
On the mean value of and -functions, with applications to murmurations
Alex Cowan
"Murmurations" are a recently-discovered type of fine structure in sums of Dirichlet coefficients averaged over families of -functions. The root cause of this phenomenon remains…