有限典型群中概率的幂级数系数
Power series coefficients for probabilities in finite classical groups
摘要：
证明了有限典型群中广泛的概率和极限概率在按1/q展开为幂级数时具有整系数。证明了在一般线性和酉情形下极限概率的系数模2相等。讨论了有限维系数随维数增加而稳定的速率。
英文摘要：
It is shown that a wide range of probabilities and limiting probabilities in finite classical groups have integral coefficients when expanded as a power series in 1/q. Moreover it is proved that the coefficients of the limiting probabilities in the general linear and unitary cases are equal modulo 2. The rate of stabilization of the finite dimensional coefficients as the dimension increases is discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
