Three years later, Mikhail Gromov found an upper bound for SR(g) given by a constant times ( log ⁡ g ) 2 g . {\displaystyle {\frac {(\log g)^{2}}{g}}.} A similar lower bound (with a smaller constant) was obtained by Buser and Sarnak.
三年後米哈伊爾·格羅莫夫找到SR(g)的一個上界， 是一個常數乘以 ( log ⁡ g ) 2 g . {\displaystyle {\frac {(\log g)^{2}}{g}}.} 一個「較小」的界（帶一個較小的常數）由Buser和Sarnak給出。