3 problems
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Farmer's conjecture on arbitrarily long mollifiers for Hardy's function
Farmer's conjecture. The asymptotic formula above should remain valid with arbitrarily large.
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The theta-infinity conjecture for mollified moments of the Riemann zeta function
The Riemann zeta function is mollified by Dirichlet polynomials of arbitrary polynomial length. Theta-infinity conjecture. The mollified second moments of the Riemann zeta function…
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Farmer's conjecture on the optimality of the linear mollifier
Farmer's conjecture. With this choice of mollifier, one has