  We present observations of the European Large-Area {\it ISO} Survey-North 1
(ELAIS-N1) at 325 MHz using the Giant Metrewave Radio Telescope (GMRT), with
the ultimate objective of identifying active galactic nuclei and starburst
galaxies and examining their evolution with cosmic epoch. After combining the
data from two different days we have achieved a median rms noise of $\approx40
\mu$Jy beam$^{-1}$, which is the lowest that has been achieved at this
frequency. We detect 1286 sources with a total flux density above $\approx270
\mu$Jy. In this paper, we use our deep radio image to examine the spectral
indices of these sources by comparing our flux density estimates with those of
Garn et al. at 610 MHz with the GMRT, and surveys with the Very Large Array at
1400 MHz. We attempt to identify very steep spectrum sources which are likely
to be either relic sources or high-redshift objects as well as inverted-spectra
objects which could be Giga-Hertz Peaked Spectrum objects. We present the
source counts, and report the possibility of a flattening in the normalized
differential counts at low flux densities which has so far been reported at
higher radio frequencies.
