CORDIS Project
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This project explores a new approach to analytic number theory that requires fewer properties from multiplicative functions. It aims to develop a coherent framework that reworks classical theories and extends techniques to L-functions, potentially unlocking new results in the field.
The traditional (Riemann) approach to analytic number theory uses the zeros of zeta functions.
This requires the associated multiplicative function, say f(n), to have special enough properties that the associated Dirichlet series may be analytically continued.
In this proposal we continue to develop an approach which requires less of the multiplicative function, linking the original question with the mean value of f.
Such techniques have been around for a long time but have generally been rega…
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