I would advise you to go through the partnership agreement first. Your entitlement in the estate of the deceased partner as a legal heir totally depends upon non incorporation of a particular clause in the partnership deed.
Clause :
Non-liability of deceased partner's estate which provides that where under a contract between the partners, the firm is not dissolved by the death of a partner, THE ESTATE OF THE DECEASED PARTNER IS NOT LIABLE FOR ANY ACT OF THE FIRM DONE AFTER HIS DEATH.
If the above clause was incorporated in the partnership deed then as legal heir of the deceased partner you shall not acquire any right to the estate of the deceased partner after his death.
This is the main law point which will decide your fate. If the clause is there you will be totally legally handicapped. No law could help you in this matter.
If not you can legally fight your case even a fradulent case can be filed in criminal court.