| Thu, Sep 02, 2021
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Number Theory Seminar
1:45 PM
MSCS 405/428 | | Ramanujan-Sato Series arising from Modular Forms
Bella Tobin, Oklahoma State University
| | | Abstract: In 1914, Ramanujan gave 17 series for 1/pi. This concept has been generalized to Ramanujan-Sato series, which use modular forms to give series for 1/pi. These series fascinated pi fanatics and in the 1980's they were used to compute many digits of pi. Chan, Chan, and Liu provide a theorem that gives some Ramanujan-Sato series. Motivated by this work, we obtain a new general theorem that produces Ramanujan-Sato series for 1/pi. The talk will be largely expository. I will discuss Ramanujan-Sato series and their relationship to modular forms, present a generalization, and provide an example. These are preliminary results of joint work with Babei, Beneish, Roy, Swisher, and Tu. |
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