A pair of mathematicians has solved a problem that had tantalized number-theory researchers for more than 8 decades. It is the so-called final problem of the legendary Indian mathematical genius ...

This is a preview. Log in through your library . Abstract Mess showed that the genus 2 Torelli group 𝑇₂ is isomorphic to a free group of countably infinite rank by showing that the genus 2 Torelli ...

Theta rhythm generation involves a variety of mechanisms, including theta rhythmic firing in septal and hippocampal interneurons, excitatory inputs to hippocampus and intrinsic properties of ...

We determine a class of functions spanned by theta series of higher degree. We give two applications: A simple proof of the inversion formula of such theta series and a classification of ...

Hippocampal theta oscillations support encoding of an animal’s position during spatial navigation, yet longstanding questions about their impact on locomotion remain unanswered. Combining optogenetic ...