LMFDB Gallery


activity
A graph of the LMFDB activity
(animation)








quadzeros
Each dot is a zero of a quadratic Dirichlet L-function
Shadows are near half Riemann zeros
Michael Rubinstein
FT
Fourier transform of the error term in PNT
Michael Rubinstein
rank4ze
The Z-function of a rank 4 L-function. The two big spikes correspond to zeros of the Riemann zeta

bigz
Big zeta
paircorrelation
Pair correlation for Riemann zeta
Andrew Odlyzko
neighbors
Nearest neighbor spacing for Riemann zeta
Andrew Odlyzko
triplecorrelation
Triple correlation for Riemann zeta; the dark vertical shadows are at the imaginary parts of zeros of Riemann zeta (black and white)
Nina Snaith
triplecorrelationcolor
Triple correlation for Riemann zeta; the dark vertical shadows are at the imaginary parts of zeros of Riemann zeta (color)
Nina Snaith
zetacurves
Real and imaginary curves of Riemann zeta
Brian Conrey
fundamentaldomain
Action of the modular group on the upper half plane
Andrew V. Sutherland
sl2z
tesselation by SL(2, Z) fundamental domains
John Voight
Maass
Maass form plot
Fredrik Strömberg
genus2
genus 2 curve
(from Wikipedia)
genus3
genus 3 curve
(from Wikipedia)
g6
the real part of G6 on the unit disk
(from Wikipedia)
theta
a theta function
(from Wikipedia)
g6
elliptic curve: David Dumas; modular form: Tom Boothby
assembled by Andrew V. Sutherland