Kalani Thalagoda
YOU?
Author Swipe
View article: Summation formulas for Hurwitz class numbers and other mock modular coefficients
Summation formulas for Hurwitz class numbers and other mock modular coefficients Open
We prove a formula for weighted sums of the first $n$ coefficients of mock modular forms of moderate growth and apply it to Hurwitz class numbers and coefficients of negative half integral weight Eisenstein series, which take the form of c…
View article: Bianchi Modular Forms over Class Number 4 Fields
Bianchi Modular Forms over Class Number 4 Fields Open
Let $F$ be an imaginary quadratic field, and let $\mathcal{O}_F$ be its ring of integers. For any ideal $\mathfrak{n} \subset \mathcal{O}_F$, let $Γ_0(\mathfrak{n})$ be the congruence subgroup of level $\mathfrak{n}$ consisting of matrices…
View article: Perfect Forms over Imaginary Quadratic Fields
Perfect Forms over Imaginary Quadratic Fields Open
In this work, we compute the perfect forms for all imaginary quadratic fields of absolute discriminant up to $5000$ and study the number and types of the polytopes that arise. We prove a bound on the combinatorial types of polytopes that c…
View article: Continued fractions with irrational numerators
Continued fractions with irrational numerators Open
University of Minnesota M.S. thesis. June 2018. Major: Applied and Computational Mathematics. Advisor: John Greene. 1 computer file (PDF); iii, 43 pages.