Vladimir Kapustin
Abstract
Abstract The functional equation for the Riemann zeta function allows us to construct a kernel of a Toeplitz operator containing a modified zeta function. Hypergeometric functions are used for a description of subspaces approximating the kernel. Expressions for the limit functions are found.
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Abstract The functional equation for the Riemann zeta function allows us to construct a kernel of a Toeplitz operator containing a modified zeta function. Hypergeometric functions are used for a description of subspaces approximating the kernel. Expressions for the limit functions are found.
Key concepts: Mathematics, Toeplitz matrix, Riemann zeta function, Arithmetic zeta function, Riemann hypothesis, Kernel (algebra), Pure mathematics, Confluent hypergeometric function