Papers for Euler Circle analytic number theory, Spring 2024
Agastya Goel:
Apery's Theorem
Aranya Karighattam:
Consecutive primes in arithmetic progressions
Arjun Agarwal:
Apery's Theorem
Brandon Muliadi:
Least nonquadratic residue
Dallas Anderson:
Exploring the Riemann zeta function
Ezra Furtado-Tiwari:
Divisors of
n!
Grace Howard:
Character sums
Keshav Karumbunathan:
Apery's Theorem
Nathan Shkolnik:
Dilogarithm and hyperbolic tetrahedra
Navvye Anand:
A self contained guide to square sieves and applications
Neil Kolekar:
On an extension of Artin's Conjecture on primitive roots
Nicholas Pasetto:
Small gaps between primes
Nikhil Reddy:
Carmichael numbers
Nishkarsh Singh:
The analytic class number formula and special values of
L
-functions
Peter Powell:
Riemann's explicit formula
Rohan Ramkumar:
Artin's Conjecture on primitive roots
Sambhu Ganesan and Isaac Sun:
An overview of the Wiener-Ikehara Theorem
Sammy Ross:
Other zeta functions
Satvik Balakrishnan:
Porter's Constant
Shihan Kanungo:
Large gaps between primes
Sounak Bagchi:
Chebyshev's bias
Stephen Zhou:
A problem
Tarun Rapaka:
On Riemann's explicit formula for the number of primes
Trevor Johnson:
Chebyshev's bias
Trisha Sabadra:
Porter's Constant in Euclidean algorithm complexity
Urvi Chitnis:
Consequences of the Riemann Hypothesis
Vivaan Daga:
Artin's primitive root conjecture
Woong Choi:
Small gaps within primes
Xinke Guo-Xue:
Carmichael numbers
Yaasiin Noor:
On Riemann's 1859 paper