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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
5
votes
An interesting integral expression for $\pi^n$?
As suggested by მამუკა ჯიბლაძე, for n=2,3 there is indeed an interesting connection of
$$I_n=\int\limits_0^1\cdots \int\limits_0^1 dt_1\cdots dt_{n-1}\int\limits_1^\infty dt_n \frac{1}{t_n(t_n+t_{n-1} …
9
votes
On Siegel mass formula
Try this reference https://arxiv.org/abs/1105.5759 (Notes on "Quadratic Forms and Automorphic Forms" from the 2009 Arizona Winter School, by J. Hanke).
P.S. See also http://citeseerx.ist.psu.edu/view …