Search Results

Let $m>1$ be a natural number, and $p$ be a prime divisor of $(m+1)2^m+1$. Then $n=p-m-1$ does the trick. EDIT: On second thought, there is a catch. As Ofir Gorodetsky suggested, it is not difficul …

This question is poorly formulated, so I am not sure if it can be properly answered. I have some comments, rather then an answer. First, the methods 1,2 (Abel and Lindelöf summation), as well as any …

(Not an answer of any sort, just too long for a comment.) The main result seems to be an integral equation (1.3) of the form $$\int_{-\infty}^\infty K(t,\tau) |\zeta(\tfrac{1}{2}+it\tau)|^2\,d\tau= …

I think Hauptvermutung (the "main conjecture" in German) is a good example. It certainly is supported by very plausible heuristic arguments, and nobody had any doubt for half a century.

As mentioned by GH from MO, the irrationality measure for almost all real numbers is 2. However, computing it for a particular number is a notoriously difficult problem. For an irrational algebraic n …

There is no problem in proving the Hadamard product if you write it as $$\hat{\xi}(s)=\hat{\xi}(0)\prod_{\mu}\bigg(1-\frac{s}{\mu}\bigg)\bigg(1-\frac{s}{1-\mu}\bigg)$$ Also, your observation about be …

Is there somewhere a database on Maass forms that includes eigenvalues, Taylor coefficients, etc...? I am mainly interested in classical forms on $\Gamma(1)\backslash H$.

The Riemann hypothesis is a conjecture in both analysis and number theory. Someone who tries to undermine it necessarily has to ignore the latter part or to declare it irrelevant. I am not suggesting …