Colin Defant

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20142026

most citedStack-Sorting Preimages of Permutation Classes

12 citations · 98 across the 59 of their papers we have counts for

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math.NT2017

Connected Components of Complex Divisor Functions

Colin Defant

For any complex number $c$ , define the divisor function $σ_{c} : N \to C$ by $σ_{c} (n) = d ∣ n \sum d^{c}$ . Let $σ_{c} (N)$ denote the topo…

math.NT2017★ 6 cited

Revisiting The Riemann Zeta Function at Positive Even Integers

Krishnaswami Alladi, Colin Defant

Using Parseval's identity for the Fourier coefficients of $x^{k}$ , we provide a new proof that $ζ (2 k) = \frac{( - 1 ) ^{k + 1} B _{2 k} ( 2 π ) ^{2 k}}{2 ( 2 k )!}$ .