The Indagationes Mathematicae Best Paper Prize

In 2023, the Royal Dutch Mathematical Society (KWG) and Elsevier have introduced an award for the best paper the journal Indagationes Mathematicae (IM), published by Elsevier under the auspices of KWG. 

The IM Best Paper Award 2024 has been awarded to Gautam Chinta, Nathan Kaplan, and Shaked Koplewitz for their article The cotype zeta function of Z^d, Indagationes Mathematicae 34 (3)  2023, 643-659.

The prize ceremony will take place on Wednesday 3 April 2024, during the second day of the Netherlands Mathematical Congress ( from 9:30-10:00 h.

Shaked Koplewitz

The Cotype Zeta function of Z^d

I go through my work with Nathan Kaplan and Guatum Chinta, Where we give an asymptotic formula for the number of sublattices Λ ⊆ Z^d of index at most X for which Z^d /Λ has rank at most m, answering a question of Nguyen and Shparlinski. We compare this result to work of Stanley and Wang on Smith normal forms of random integral matrices and discuss connections to the Cohen-Lenstra heuristics. Our arguments are based on Petrogradsky’s formulas for the cotype zeta function of Z^d, a multivariable generalization of the subgroup growth zeta function of Z^d.