2 problems

Symplectic variance conjecture for sums of divisor functions over quadratic residues
Let $d_k(n)$ denote the $k$ -fold divisor function, and define … For $x^{1/k}\leq y$ and primes $p$ with $y\leq p\leq 2y$ , write $\mathrm{Var}_{p\in[y,2y]}$ for the variance over th…
openanalytic-number-theory divisor-functions symplectic-symmetry
0 responses
05
The CFKRS recipe prediction for symplectic shifted moments
CFKRS conjecture. If $|\operatorname{Re}(s)-\frac12|\ll1/\log X$ for all $s\in S$ , then as $X\to\infty$ ,
openmoments-of-l-functions quadratic-twists symplectic-symmetry
0 responses
07

Symplectic variance conjecture for sums of divisor functions over quadratic residues