Applications of $p$-adic numbers in CS Are there any concrete (or a rich source of) examples of application of $p$-adic numbers in computer science?
De, Kurur, Saha and Saptharishi gave a modular version of Fürer's integer multiplication algorithm in their paper Fast integer multiplication using modular arithmetic, in which the p-adic numbers replace the complex numbers used by Fürer. Both algorithms give the best bit-complexity for integer multiplication.