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Recursion Relations and Functional Equations for the Riemann Zeta Function
Riemann zeta function zeros of zeta function recursion relation of zeta function functional equation of zeta function
2011/9/14
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...
Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
point perturbation bounded variation asymptotics of orthogonal polynomials
2010/12/1
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.
Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
Topological recursion Poincare polynomial combinatorial moduli space of curves
2010/12/3
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...
The Universal Kolyvagin Recursion Implies the Kolyvagin Recursion
Euler system universal distribution Kolyvagin recursion
2007/12/13
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 ...