Technically there is no visa for the US that will allow you to work remotely while visiting. Here is a nice summary of all the potential visas and what is and isn't allowed. While there are some visas that do allow work, you are unlikely to be able to get them without some serious immigration lawyer like effort. And such effort would be overkill for a simple 1 month visit even if you were eligible for such a visa.
With that said, carrying a laptop with you while you travel is no longer an unusual activity. As long as you don't mention anything at all related to work when entering the country, US immigration shouldn't refuse your entry. But of course, never lie to immigration authorities. They've seen it all and can spot lies from a long way away.
I'd also like to point out another question on here that explores what the nature of work actually is in terms of the B1 visa:
Emails and conference calls while in the USA under ESTA (B-1 Waiver)