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Abstract: New recursion relations for the Riemann zeta function are introduced. Their derivation started from the standard functional equation. The new functional equations have both real and imaginar...
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo- nential decay.
We show that the Poincare polynomial associated with the orbifold cell decomposition of the moduli space of smooth algebraic curves with distinct marked points satis es a topological recursion formu...
Let $\mathscr U_z$ be the universal norm distribution and $M$ a fixed power of prime $p$. By using the double complex method employed by Anderson, we study the universal Kolyvagin recursion occurring ...

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