2 papers
math.NT2022
Hurwitz Zeta Functions and Ramanujan's Identity for Odd Zeta Values
Parth Chavan
Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the…
math.CO2022
Hypergraph Fuss-Catalan Numbers
Parth Chavan, Andrew Lee, Karthik Seetharaman
The Catalan numbers are an extremely well-studied sequence of numbers that appear as the answer to many combinatorial problems. Two generalizations of these numbers that have…