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CFKRS moment conjecture for the random Euler-product model of function-field L-functions
Let $r$ and $\tilde{r}$ be nonnegative integers, let $q>2$ be a prime power, let $s_1,\dots,s_{r+\tilde{r}}$ be complex numbers with real part $\frac{1}{2}$ , and let $A$ be a real…
openfunction-field-l-functions moment-conjectures random-matrix-theory
010
Twisted cubic moment conjecture for $GL(3)\times GL(2)$ $L$ -functions
Twisted cubic moment conjecture. The full set of main terms for
openautomorphic-forms l-functions moment-conjectures
04
Mean-value Lindelöf conjecture for real Dirichlet characters
Let $k\geqslant1$ be an integer, and let $Q,T\geqslant2$ be real numbers. Let $\mathcal{O}_2(Q)$ denote the family of real Dirichlet characters counted in the paper, and let…
openanalytic-number-theory dirichlet-l-functions moment-conjectures
03
Microscopic zeta logarithmic-derivative moment conjecture
Microscopic logarithmic-derivative moment conjecture. The following two asymptotic identities should hold:
openlogarithmic-derivative moment-conjectures riemann-zeta-function
02

CFKRS moment conjecture for the random Euler-product model of function-field L-functions