Papers for Euler Circle Infinite Series, Winter 2020
Alan Lee:
Arithmetic-geometric mean
Alex Tholen:
How did Ramanujan create a series for pi?
Alexa Wingate:
Euler's pentagonal number theorem
Atticus Kuhn:
Continued fractions
Bohong Su:
Complex analysis and infinite series
Darren Yao:
Evaluating divergent series
Emma Cardwell:
Polylogarithms and the BBP algorithm
Ethan Yang:
Fourier analytic methods for evaluating series
Jerry Sun and William Ren:
Complex analysis
Josh Zeitlin:
Exponential generating functions
Joshika Chakraverty, Isabelle Hong, and Ashwin Rajan:
The class number problem
Katherine Taylor:
The Flint Hills series
Kevin Xu:
Introduction to the
j
-invariant
Krishna Dhulipala:
The Jacobi triple-product
Mehana Ellis:
The
j
-function
Sarah Fujimori and Tae Kyu Kim:
Modular forms
Siddharth Srinivasan:
Theta functions
Sidharth Sharma:
Euler's pentagonal number theorem
Steven Hwang:
q
-series
Tristan Liu:
The Borwein-Bailey-Plouffe formula