$begingroup$ There are hordes of fine publications in all fields of arithmetic. What you will need is something you could find out from But I question this. Ramanujan proved some of his series for $one/pi$ and gave various specifics about his method in his paper as well as his Notebooks. https://rafaelydvtk.blogproducer.com/43643461/5-essential-elements-for-por-qué-es-bueno-leer-el-tarot