Numerical computations concerning the ERH

Numerical Computations concerning the Erh

This paper describes a computation which established the ERH to height 10000 for all primitive Dirichlet ¿-series with conductor Q < 13 , and to height 2500 for all Q < 72, all composite Q < 112, and other moduli. The computations were based on Euler-Maclaurin summation. Care was taken to obtain mathematically rigorous results: the zeros were first located within 10~12 , then rigorously separat...

Numerical computations concerning the GRH

New Computations Concerning the Cohen-Lenstra Heuristics

Some numerical computations concerning spinor zeta functions in genus 2 at the central point

We numerically compute the central critical values of odd quadratic character twists with respect to some small discriminants D of spinor zeta functions attached to Seigel–Hecke eigenforms F of genus 2 in the first few cases where F does not belong to the Maass space. As a result, in the cases considered we can numerically confirm a conjecture of Böcherer, according to which these central criti...

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.