Sings

Note and dotted note on the same line - Lilypond

Note and dotted note on the same line - Lilypond

It means there are two "voices": one of them "sings" a dotted quarter note on a certain pitch, the other sings a series of sixteenth notes beginning on that same pitch. More commonly, you would see this written with a double stem, as in the upper staff.

Beam on top and beam at the bottom on a music sheet
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