D. Farmer

发表

Mean values of L-functions and symmetry

J. Brian Conrey, David W. Farmer, J. Conrey, 1999, math/9912107.

Integral Moments of L‐Functions

J. P. Keating, D. W. Farmer, N. Snaith, 2002, math/0206018.

Autocorrelation of Random Matrix Polynomials

J. P. Keating, D. W. Farmer, N. Snaith, 2002, math-ph/0208007.

Mean Values of the Logarithmic Derivative of the zeta Function and the GUE Hypothesis

D. Farmer, 1994, math/9412220.

Analytic $L$-functions: Definitions, theorems, and connections

Nathan C. Ryan, D. Farmer, Ameya Pitale, 2017, Bulletin of the American Mathematical Society.

An extension of Hecke's converse theorem

J. Conrey, D. Farmer, 1995, math/9502209.

A POLYNOMIAL APPROACH TO COCYCLES OVER ELEMENTARY ABELIAN GROUPS

K. Horadam, D. Farmer, 2008, Journal of the Australian Mathematical Society.

Factoring Hecke polynomials modulo a prime

J. Conrey, D. Farmer, Peter Jake Wallace, 1998, math/9811179.

The distribution of the eigenvalues of Hecke operators

W. Duke, J. Conrey, D. Farmer, 1996, math/9609214.

The second Dirichlet coefficient starts out negative

D. Farmer, S. Koutsoliotas, 2015, 1505.08015.

Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N)

J. Conrey, D. Farmer, M. Zirnbauer, 2005, math-ph/0511024.

AUTOCORRELATION OF RATIOS OF CHARACTERISTIC POLYNOMIALS AND OF L-FUNCTIONS

D. Farmer, B. Conrey, M. Zirnbauer, 2004 .

Mean values of ζ ′ / ζ and the Gaussian unitary ensemble hypothesis

D. Farmer, 1995 .

Differentiation evens out zero spacings

Robert C. Rhoades, D. Farmer, 2003, math/0310252.

Crystallization of Random Trigonometric Polynomials

D. Farmer, Mark Yerrington, 2006, math-ph/0601007.

Currently there are no reasons to doubt the Riemann Hypothesis

D. Farmer, 2022, 2211.11671.

Random polynomials, random matrices and L-functions

F. Mezzadri, N. Snaith, D. Farmer, 2005, math-ph/0509044.

A ug 2 00 2 Autocorrelation of Random Matrix Polynomials

N. Snaith, J. Keating, M. Rubinstein, 2003 .

0 20 80 07 v 2 9 J un 2 00 3 Autocorrelation of Random Matrix Polynomials

N. Snaith, J. Keating, M. Rubinstein, 2003 .

Multiplicity one for $L$-functions and applications

Nathan C. Ryan, D. Farmer, Ameya Pitale, 2013, 1305.3972.

Characterizations of the Saito-Kurokawa lifting: a survey

Nathan C. Ryan, D. Farmer, Ameya Pitale, 2013, 1306.0068.

The GL(3) mellin transform for twisted non-cuspidal forms of higher level

D. Farmer, Daniel Lieman, 1998 .

Ranks of Elliptic Curves and Random Matrix Theory: Modeling families of L -functions

D. Farmer, 2005, math/0511107.

Ranks of Elliptic Curves and Random Matrix Theory: Modeling families of L -functions

D. Farmer, 2007 .

RANDOM POLYNOMIALS, RANDOM MATRICES, AND L-FUNCTIONS, II

F. Mezzadri, N. Snaith, D. Farmer, 2005 .

Autocorrelation of ratios of L-functions

D. Farmer, B. Conrey, M. Zirnbauer, 2007, 0711.0718.

Long mollifiers of the Riemann Zeta-function

D. Farmer, 1993 .

Ranks of Elliptic Curves and Random Matrix Theory: Introduction

F. Mezzadri, N. Snaith, J. Conrey, 2007 .

The nontrivial zeros of period polynomials of modular forms lie on the unit circle

J. Conrey, D. Farmer, O. Imamoglu, 2012, 1201.2322.

Basic analytic number theory

D. Farmer, 2004, math/0408154.

A new generation of mathematics textbook research and development

Robert A. Beezer, D. Farmer, K. O’Halloran, 2018, ZDM.

The second Dirichlet coefficient starts out negative

D. Farmer, S. Koutsoliotas, 2015, The Ramanujan Journal.

The highest lowest zero of general L-functions

M. Rubinstein, J. Conrey, D. Farmer, 2012, 1211.5996.

An optimal choice of dirichlet polynomials for the Nyman-Beurling criterion

J. Conrey, D. Farmer, S. Bettin, 2012, 1211.5191.

Transition mean values of real characters

K. Soundararajan, J. Conrey, D. Farmer, 1999, math/9903197.

Lower order terms in the full moment conjecture for the Riemann zeta function

N. Snaith, J. Keating, M. Rubinstein, 2006, math/0612843.

N T ] 3 J un 2 00 2 INTEGRAL MOMENTS OF L-FUNCTIONS

N. Snaith, J. Keating, M. Rubinstein, 2009 .

Roots of the derivative of the Riemann-zeta function and of characteristic polynomials

F. Mezzadri, D. Farmer, T. Phan, 2010, 1002.0372.

The Landscape of L-functions: degree 3 and conductor 1

D. Farmer, S. Koutsoliotas, D. Roberts, 2023, 2303.00079.

Varieties via their L-functions

D. Farmer, S. Koutsoliotas, S. Lemurell, 2015, Journal of Number Theory.

Maass Forms on GL(3) and GL(4)

D. Farmer, S. Koutsoliotas, S. Lemurell, 2012, 1212.4545.

$\mathrm{GL}_2\times\mathrm{GSp}_2$ $L$-values and Hecke eigenvalue congruences

D. Farmer, S. Koutsoliotas, N. Dummigan, 2019, 1910.14128.

Evaluating -functions with few known coefficients

Nathan C. Ryan, D. Farmer, 2012, LMS J. Comput. Math..

Testing the Functional Equation of High-degree Euler Products

Nathan C. Ryan, D. Farmer, Ralf Schmidt, 2010, 1011.1307.

$\protect \mathrm{GL}_2\times \protect \mathrm{GSp}_2$ $L$-values and Hecke eigenvalue congruences

D. Farmer, S. Koutsoliotas, Jonas Bergström, 2019, Journal de Théorie des Nombres de Bordeaux.