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Digital signatures primarily rely on asymmetric cryptography, utilizing mathematical concepts such as modular arithmetic and number theory. Common algorithms include the RSA algorithm, which is based on the difficulty of factoring large prime numbers, and the Digital Signature Algorithm (DSA), which leverages the discrete logarithm problem in finite fields. Elliptic curve cryptography (ECC) is another approach, using the mathematics of elliptic curves to provide similar security with smaller key sizes. These mathematical foundations ensure that digital signatures are secure, verifiable, and resistant to forgery.

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