67 citations · 528 across the 47 of their papers we have counts for
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Subgroup growth of lattices in semisimple Lie groups
A. Lubotzky, N. Nikolov
We give very precise bounds for the congruence subgroup growth of arithmetic groups. This allows us to determine the subgroup growth of irreducible lattices of semisimple Lie group…
Counting primes, groups and manifolds
D. Goldfeld, A. Lubotzky, N. Nikolov +1
Let be the modular group and let be the number of congruence subgroups of of index at most . We prove that $\lim\limits_{n\to \infty} \fr…
Conformal invariance and rationality in an even dimensional quantum field theory
Nikolay M. Nikolov, Ivan T. Todorov
Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thu…
Elliptic Thermal Correlation Functions and Modular Forms in a Globally Conformal Invariant QFT
Nikolay M. Nikolov, Ivan T. Todorov
Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functi…