R上处处收敛的幂级数与所有Q_p
Power series everywhere convergent on R and all Q_p
摘要：
幂级数是同时收敛的所有实数和p-adic数。我们的展开式在某些方面类似于指数函数、三角函数和双曲函数的展开式。从这些级数出发，利用它们的阶乘结构，得到了新的可和有理和级数。对于参数$x\in {\mathbb Q}$，构造级数的三角形。在普朗克尺度的可能应用也被考虑。
英文摘要：
Power series are introduced that are simultaneously convergent for all real and p-adic numbers. Our expansions are in some aspects similar to those of exponential, trigonometric, and hyperbolic functions. Starting from these series and using their factorial structure new and summable series with rational sums are obtained. For arguments $x\in {\mathbb Q}$ adeles of series are constructed. Possible applications at the Planck scale are also considered.
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。
