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3. The Recipe


    1. Add remark

      Problem 3.1.

      [C. Hughes] Can one find a version of the recipe using asymmetric approximate functional equations, giving a “robust” version of the calculations? Similarly, can one apply the Conrey-Keating method using two asymmetric Dirichlet polynomials $$ \sum_{m\leq X} \frac{\tau_A(m)}{m^s} \ \ \ \ \ \ \mbox{and} \ \ \ \ \ \ \sum_{n\leq Y} \frac{\tau_B(n)}{n^{1-s}} $$ to get the same answer as before, i.e. when $X=Y$?


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          Problem 3.2.

          [N. Ng] Can one prove the fourth moment formula starting from $$ \int \prod_{j=1}^4 \left( \sum_{n\leq x_j} \frac{1}{n^{1/2+it}}+\chi(s) \sum_{n\leq t/x_j} \frac{1}{n^{1/2-it}}\right)\,dt \ ? $$

              Cite this as: AimPL: Moments of zeta and correlations of divisor sums, available at http://aimpl.org/zetamoments.