Section 6 of the GPLv3, which the LGPLv3 includes by reference as one of the required distribution terms in paragraph 4.d.0:
Convey the Minimal Corresponding Source under the terms of this License, and the Corresponding Application Code in a form suitable for, and under terms that permit, the user to recombine or relink the Application with a modified version of the Linked Version to produce a modified Combined Work, in the manner specified by section 6 of the GNU GPL for conveying Corresponding Source.
(emphasis added) There is the alternative of following 4.d.1 instead, but that's only if the application links against a shared library already present on the user's computer system—it couldn't be distributed with the program.
GPLv3 section six offers five alternative methods of satisfying the obligation to provide source code. The first (6.a) applies only to physical distribution and must include source code with the physical media. The second (6.b) also requires physical distribution plus a written offer to provide the source code to anyone possessing the object code. The third (6.c) is the one I mentioned that applies only "occasionally and noncommercially" for those who received a written offer themselves under the previous clause. The fourth option (6.d) allows for the source to be provided through a network server:
If the place to copy the object code is a network server, the Corresponding Source may be on a different server (operated by you or a third party) that supports equivalent copying facilities, provided you maintain clear directions next to the object code saying where to find the Corresponding Source. Regardless of what server hosts the Corresponding Source, you remain obligated to ensure that it is available for as long as needed to satisfy these requirements.
The fifth and final alternative (6.e) pertains to object code provided through P2P distribution, with the same requirements as the fourth method for the source code.