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A. Akbary - On the distribution of the values of symmetric square L-functions in the half plane ${\rm Re}\,(s)>\frac{3}{2}$



A. AKBARY, Department of Mathematics and Statistics, Concordia University, Montreal, Quebec  H3G 1M8, Canada
On the distribution of the values of symmetric square L-functions in the half plane ${\rm Re}\,(s)>\frac{3}{2}$


Let Lsym2(f)(s) be the symmetric square L-function associated to a newform of weight 2 and level N. We will derive an asymptotic formula for the average values of Lsym2(f)(s) at a point s0 in the half plane ${\rm Re}\,(s)> \frac{7}{4}$. Assuming the Riemann hypothesis for the Riemann zeta function, we are able to extend our result to the half plane ${\rm Re}\,(s)>\frac{3}{2}$.



 

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