Theorem 4.21 . [00SB]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Theorem 4.21.

(Improved Skoda estimate) In the Fermat case above, there are uniform constants $\alpha$ , $C$ , such that

\mathchoice{{\vbox{\hbox{$\textstyle-$ }}\kern-7.98003pt}}{{\vbox{\hbox{$\scriptstyle-$ }}\kern-6.26338pt}}{{\vbox{\hbox{$\scriptscriptstyle-$ }}\kern-5.6363pt}}{{\vbox{\hbox{$\scriptscriptstyle-$ }}\kern-5.45924pt}}\!\int_{X_{s}}e^{-\alpha\sqrt{s}(\varphi-\psi)}d\mu_{s}\leq C.

(29)