Berndt, Bruce C.Bruce C.BerndtDixit, AtulAtulDixitGupta, RajatRajatGuptaZaharescu, AlexandruAlexandruZaharescu2025-08-282025-08-282023-03-01https://arxiv.org/abs/2303.02520https://d8.irins.org/handle/IITG2025/20125The modified Bessel functions K?(z), or, for brevity, K-Bessel functions, arise at key places in analytic number theory. In particular, they appear in beautiful arithmetic identities. A survey of these arithmetical identities and their appearances in number theory is provided.en-USBessel functionK-BesselNumber theoryArithmetic identitiesAnalytic number theorye-Printe-Print123456789/555