Papers for Euler Circle mathematics of Euler, Summer 2023, Session 2
Aakash Jha:
Various geometric demonstrations
Aarush Garg:
Euler's work on four square identity and related properties regarding prime numbers and partitioning into squares
Aditi Ladda and Estefania Olaiz:
A method for finding large primes: Euler's method
Agniva Chaudhuri:
On establishing a relationship between three or more quantities
Amiti Ganguly:
A spin to the calculation of sines
Andrea Schefer:
Euler's paper on elliptic integrals
Anika Chopra and Siddh Vora:
Euler's ratio-sum theorem
Anthony Dokanchi:
n
=4 case of Fermat's Last Theorem
Arjun Bhobe:
On Euler's fast converging series of π
Aryan Dalal and Rithwik Sharma:
Sum of two squares
Bhuvishi Bansal:
Euler's contributions to magic squares
Dieter Yang:
Investigation on single-step Latin squares
Dylan Schulz:
Euler's perfect squares
Eric Xu:
On a notable advancement of Diophantine analysis
Ezra Furtado-Tiwari:
Special cases of Fermat's Last Theorem
Grace Howard:
Euler's formula
Inho Ryu:
Observations on continued fractions
Jeyram Ananda Krishnan:
Primality of the Fermat number
F
5
Julian Schennach:
Euler's primality test through sums of two squares
Julian Stockton:
Summation of the series sin(ϕ)
λ
+sin(2ϕ)
λ
+···+sin(
n
ϕ)
λ
and cos(ϕ)
λ
+cos(2ϕ)
λ
+···+cos(
n
ϕ)
λ
Krishna Praneeth Sidde:
Unravelling Euler's ingenious integration: a comprehensive analysis of E695
Kun-Hyung Roh:
On Diophantine equations of the quartic forms
Nikhil Reddy:
Coefficients of powers of 1+
x
+
x
2
+···+
x
k
Omer Ozcan:
Several considerations about hypergeometric series
Prakhar Mishra:
Decoding the enigma of equations: Euler's resolvents and the quest for closure
Ryan Panzer:
On a series formed from reciprocals of primes
Schenelle Saldanha:
The complex exponential function
Skyler Mao:
Using idoneal numbers to find large primes
Tara Saini:
Euler's method for finding linear relations
Vaishnavi Venkat:
Diophantine problems on the quartic forms
Vivaan Daga:
Eulerian numbers
William Zhang:
Approximation of the sum of the infinite mod 4-alternating series of the reciprocals of primes by Euler