Thomas Jaklitsch

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20212026

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math.NT2022

On Certain McKay Numbers of Symmetric Groups

Annemily G. Hoganson, Thomas Jaklitsch

For primes $ℓ$ and nonnegative integers $a$ , we study the partition functions $p_{ℓ} (a; n) := # {λ ⊢ n : ord_{ℓ} (H (λ)) = a},$ where $H (λ)$ denotes the product of ho…

math.NT2022

Class Numbers and Pell's Equation $x^{2} + 105 y^{2} = z^{2}$

Thomas Jaklitsch, Thomas C. Martinez, Steven J. Miller +1

Two well-studied Diophantine equations are those of Pythagorean triples and elliptic curves, for the first we have a parametrization through rational points on the unit circle, and…

On Certain McKay Numbers of Symmetric Groups

Class Numbers and Pell's Equation x2+105y2=z2

Class Numbers and Pell's Equation $x^{2} + 105 y^{2} = z^{2}$