Digital devices are not the only chips that require bypass capacitors. Analog circuits also benefit from including bypass capacitors but in another way. Although bypass capacitors in digital systems control fast rising- and falling-time glitches from the device, bypass capacitors in analog systems help reduce power-supply noise at the analog device. (Reed Business Information)

The first line of defense against unwanted perturbations on the power supply is the bypass capacitor. A bypass capacitor eliminates voltage droops on the power supply by storing electric charge to be released when a voltage spike occurs. It also provides this service at a wide range of frequencies by creating a low-impedance path to ground for the power supply. (Intersil Americas Inc.)

So when we put several of these bypass capacitors (each with different L and C values) in parallel, the negative and positive pieces of imaginary part of the admittance will cancel at certain frequencies. (TechInsights)