Jenkins cron syntax not honoring timezone offset

Question

I want to run my test jobs through Jenkins in EST time zone. In order to do that I used below cron scheduler but it doesn't seem to work. Jobs are not running in EST timezone.

cron('TZ=America/New_York\n* * * * *')

I substituted with all * to not give away my specific time.

Any insights. What am I doing wrong?

I tried this - "H 12 * * 1,3,5 TZ=America/New_York"

But Jenkins throws following error -

hudson.remoting.ProxyException: java.lang.IllegalArgumentException: Could not instantiate {spec=H 12 * * 1,3,5 TZ=America/New_York} for hudson.triggers.TimerTrigger: java.lang.reflect.InvocationTargetException