The Math-DSL's like Matlab, Julia, and Mathematica would like to chime in and say 1-based indexing translates better with math research/lit.

Sometimes; other times math desperately wants indexes to start at 0 for the same "offset" reasons, to avoid having to add one. If you're using indexes as subscripts, some formulas start subscripting at 0. If you're building a series, many series start indexing at 0, not least of which because you often want the first term to involve a 0 in the exponent to make a constant term. Polynomial powers start at 0. 0 is a more common bound for integrals than 1. Angles start at 0. Physics values start at 0.

If anything, mathematics provides as much of a reason as pointer arithmetic to start indexing at 0. Indexing from 1 occurs more if you're creating a one-to-one correspondence with some real-world object, and you want to number those objects starting from 1, perhaps because that's a convenient user-visible numbering.