Some maintain that the triumphal arch from its vicinity has a relation to the mausoleum, while others assert them to have been built at different epochs.
The inscription has only served to base the different hypotheses of antiquaries, among which that of the Abbe Barthelemy is considered the most probable; namely, that in the three first words are found two initials, which he considers may be rendered as follows:-- SEXTUS.

LUCIVS.

MARCVS; and the two other initials, C.F., which follow the word JVLIEI, may be explained in the same manner to signify Caii Filii, and, being joined to Juliei, which precedes, may be received to mean Julii Caii Filii.
Mantour's reading of the inscription is, Caius Sextius Lucius, Maritus JULIAE Incomparabilis, Curavit Fieri PARENTIBUS SUIS; which he translates into Caius Sextius Lucius, Husband of Julia, caused this Monument to be erected to the Memory of his Ancestors, and the victories achieved by them in Provence, which on different occasions had been the theatre of war of the Romans.
Bouche's version of it is,-- {Lucius, } Sextus {Laelius, } Maritus Juliae.
{Liberius,} Istud Cenotaphium,} or, } Fecit Parentibus Suis; Intra Circulum, } which he asserts to mean,--Sextus, in honour of his Father and Mother, buried in this place, and represented by the two statues surrounded by columns in the upper part of the mausoleum.
Monsieur P.Malosse, to whose work on the antiquities of St.-Remy I am indebted for the superficial knowledge I have attained of these interesting objects, explains the inscription to mean,-- SEXTVS.

LVCIVS.

MARCVS.