Is there a working Open source implementation of litecoin mining application for Linux flavours without GUIs (think debian, ubuntu server etc.)
I found a couple of implementations by developers but all of them are closed source.
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Sign up to join this communitycgminer should work, it is open source, cross platform miner for bitcoins and litecoins (--scrypt key used for scrypt based coins like litecoin.)
Looks like the litecoin.org client on github includes litecoind which would be the non-GUI version.
https://github.com/litecoin-project/litecoin/blob/master-0.8/INSTALL
https://github.com/litecoin-project/litecoin/blob/master-0.8/doc/build-unix.md
there are many, googling "litecoin mining software" will find you some.
I've used: https://github.com/cbuchner1/CudaMiner https://github.com/ckolivas/cgminer/