## The method

Moments of zeta and correlations of divisor-sums, I (second moment of zeta)
Conrey, J. B. and Keating, J. P., doi-journal

Moments of zeta and correlations of divisor-sums, II (fourth moment of zeta)
Conrey, J. B. and Keating, J. P., doi-journal

Moments of zeta and correlations of divisor-sums, III ($2k$th moment, one swap)
Conrey, J. B. and Keating, J. P., doi-journal

Moments of zeta and correlations of divisor-sums, IV ($2k$th moment, two swaps)
Conrey, J. B. and Keating, J. P.

Pair correlation and twin primes revisited
Conrey, J. B. and Keating, J. P.

## Foundations of the method

Random matrix theory and the Riemann zeros. I. Three-and four-point correlations
Bogomolny, E. B. and Keating, J. P., doi-journal

Random matrix theory and the Riemann zeros. II. $n$-point correlations
Bogomolny, E. B. and Keating, J. P., doi-journal

High moments of the Riemann zeta-function
Conrey, J. B. and Gonek, S. M., doi-journal

A quadratic divisor problem
Duke, W., Friedlander, J. B., and Iwaniec, H., doi-journal

Mean value theorems for long Dirichlet polynomials and tails of Dirichlet series
Goldston, D. A. and Gonek, S. M., doi-journal

## Connections with the circle method

Pairs of diagonal quadratic forms and linear correlations among sums of two squares
Browning, T. D. and Munshi, R., doi-journal

The circle method and pairs of quadratic forms
Iwaniec, H. and Munshi, R., doi-journal

## Applications to convolution sums and divisor sums

Averages of shifted convolutions of $d_3(n)$
Baier, S., Browning, T. D., Marasingha, G., and Zhao, L., doi-journal

Shifted convolution sums and subconvexity bounds for automorphic $L$-functions
Blomer, V., doi-journal

An additive divisor problem
Deshouillers, J.-M., and Iwaniec, H., doi-journal

On the exponent of distribution of the ternary divisor function
Fouvry, E., Kowalski, E., and Michel, P., doi-journal

The divisor function over arithmetic progressions
Fouvry, E., and Iwaniec, H., doi-journal

Incomplete Kloosterman sums and a divisor problem
Friedlander, J. B. and Iwaniec, H., doi-journal

The additive divisor problem and its analogs for Fourier coefficients of cusp forms. I
Jutila, M., doi-journal

On the distribution of the divisor function and Hecke eigenvalues
Lester, S., and Yesha, N.

Multiplicative functions in short intervals
Matomäki, K., and Radziwił\l, M., doi-journal

An averaged form of Chowla's conjecture
Matomäki, K., Radziwił\l, M., and Tao, T., doi-journal

The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points
Michel, P., doi-journal

Mean values of character sums
Montgomery, H. L. and Vaughan, R. C., doi-journal

On shifted convolutions of $\zeta^3(s)$ with automorphic $L$-functions
Pitt, N. J. E., doi-journal

## Moments of $L$-functions in the number field setting

New error term for the fourth moment of automorphic $L$-functions
Balkanova, O. and Frolenkov, D.

A uniform asymptotic formula for the second moment of primitive $L$-functions on the critical line
Balkanova, O. and Frolenkov, D.

The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
Bettin, S., Chandee, V., and Radziwił\l, M., doi-journal

A hybrid Euler-Hadamard product and moments of $\zeta'(\rho)$
Bui, H. M., Gonek, S. M., and Milinovich, M. B., doi-journal

The eighth moment of Dirichlet $L$-functions
Chandee, V. and Li, X., doi-journal

Integral moments of $L$-functions
Conrey, J. B., Farmer, D. W., Keating, J. P., Rubinstein, M. O., and Snaith, N. C., doi-journal

Lower order terms in the full moment conjecture for the Riemann zeta function
Conrey, J. B., Farmer, D. W., Keating, J. P., Rubinstein, M. O., and Snaith, N. C., doi-journal

The cubic moment of central values of automorphic $L$-functions
Conrey, J. B., and Iwaniec, H., doi-journal

Lower order terms for the moments of symplectic and orthogonal families of $L$-functions
Goulden, I. P., Huynh, D. K., and Rishikesh, Rubinstein, M. O., doi-journal

The twisted fourth moment of the Riemann zeta function
Hughes, C. P. and Young, M. P., doi-journal

On the mean value of $L({1\over 2},\,\chi )$ for real characters
Jutila, M., doi-journal

Upper bounds for moments of $\zeta'(\rho)$
Milinovich, M. B., doi-journal

Moments of products of automorphic $L$-functions
Milinovich, M. B., and Turnage-Butterbaugh, C. L., doi-journal

Lower bounds for moments of $\zeta'(\rho)$
Milinovich, M. B., and Ng, N., doi-journal

Nonvanishing of quadratic Dirichlet $L$-functions at $s=\frac{1}2$
Soundararajan, K., doi-journal

## Moments of $L$-functions and convolution sums in the function field setting

Shifted convolution and the Titchmarsh divisor problem over $\Bbb F_q[t]$
Andrade, J. C., Bary-Soroker, L., and Rudnick, Z., doi-journal

The mean value of $L(\frac12,\chi)$ in the hyperelliptic ensemble
Andrade, J. C. and Keating, J. P., doi-journal

Conjectures for the integral moments and ratios of $L$-functions over function fields
Andrade, J. C. and Keating, J. P., doi-journal

Mean values of multiplicative functions over function fields
Granville, A., Harper, A., and Soundararajan, K.

Sums of divisor functions in $\mathbb{F}_q[t]$ and matrix integrals
Keating, J. P., Rodgers, B., Roditty-Gershon, E., and Rudnick, Z.

Moments of zeta functions associated to hyperelliptic curves over finite fields
Rubinstein, M., and Wu, K., doi-journal