## Holomorphic Quantum Unique Ergodicity – Ploy Wattanawanichkul

Quantum Unique Ergodicity (QUE) is a phenomenon where the probability density associated to any density……

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# Tag: modular forms

## Holomorphic Quantum Unique Ergodicity – Ploy Wattanawanichkul

Quantum Unique Ergodicity (QUE) is a phenomenon where the probability density associated to any density……

## Shimura Reciprocity Law and Some Computations of Class Field Invariants – Khaled Albattal

## Integer partitions and Kloosterman sums – Qihang Sun

## Hecke Relations for Eisenstein-Eta Quotients and Congruences for Crank and Rank Moments – Clayton Williams

## The Weil Bound for Generalized Kloosterman Sums of Half-Integral Weight – Amy Woodall

Graduate Number Theory Seminar

University of Illinois Urbana-Champaign

Shimura reciprocity law was first explicitly used by Shimura in his book “Introduction to the……

Ramanujan observed the congruence properties of the partition function. A beautiful combinatorial explanation of the……

The Eisenstein series are classic examples of integer weight modular forms while the Dedekind Eta……

In the exact formula for the partition function, there is a curious Kloosterman sum. The……