Papers for Euler Circle infinite series, Winter 2026
Aaditya Bilakanti:
On Ramanujan's pi infinite series
Abdul Rafay:
Nowhere differentiable functions
Aleksei Lopatin:
On Fourier series
Alexander Braun:
The pentagonal number theorem
Brendon Ahn:
Euler's pentagonal number theorem
Dallas Anderson:
The mystery of the Flint Hills series
Daniel Koo:
Rational approximations and periodicity: an exploration of continued fractions
Etienne La Fleur:
Fourier analysis through the lens of linear algebra
Hariharan Senthilkumar:
The modular
j
-function
Isaac Chan-Osborn:
Multiple zeta values
Ishan Joshi:
The Ramanujan formula for pi
Jadon Long and Leo Tsai:
Euler Circle? More like Euler Pentagon!
Jules Gardner:
The
j
-invariant
Kaio Deeter:
Bailey-Borwein-Plouffe formulas
Levi Segal:
Hecke operators, quasimodular forms, and the partition algebra
Marigold Strupp:
Modular forms
Rayhaan Patel:
Modular forms
Roy Eduardo Yaranga Almeida:
An elementary proof of Parseval's identity in
L
2
Siddharth Kothari:
Hypergeometric functions and orthogonal polynomials
Siddharth Krishna:
Dobinski's formula
Sri Srinivasan:
Polylogarithms
Stephen Zhou:
The Poisson summation formula
Tarun Rapaka:
On the
j
-invariant and its connection to numerical phenomena
Trevor Johnson:
Introduction to modular forms
Vedant Valluri:
Brownian motion: random Fourier series and Itô calculus
Vinayak Damarla:
Simple continued fractions and optimal rational approximation
Yaasiin Noor:
Ramanujan's formula for π
Zixin Zhou:
Theta functions