M.P. ChaudharyAffiliation: International Scientific Research and Welfare Orga Title Of Talk: On discrete measure and the Riemann hypothesis on functions fields Abstract: We introduce the discrete measure on function fields, further study its Mellin transform and analytic proprieties. Moreover, we give an equivalence to the Riemann hypothesis on function fields using the discrete measure and also present several results including upper bounds of the functions $\zeta_{K}(2),L_{K}(\frac{1}{q^{2}})$ and $\xi_{K}(2)$.
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