42 citations · 128 across the 18 of their papers we have counts for
19 papers
Galois representations and modularity for twisted moments of Kloosterman sums
Zi Li Lim, Fang-Ting Tu, Jeng-Daw Yu
Associated with the classical Kloosterman sums, we consider the quadratic twisted symmetric power moments. We investigate the cohomological properties and construct the motives ove…
On the Periods of Twisted Moments of the Kloosterman Connection
Ping-Hsun Chuang, Jeng-Daw Yu
This paper aims to study the Betti homology and de Rham cohomology of twisted symmetric powers of the Kloosterman connection of rank two on the torus. We compute the period pairing…
Hodge properties of Airy moments
Claude Sabbah, Jeng-Daw Yu
We consider the complex analogues of symmetric power moments of cubic exponential sums. These are symmetric powers of the classical Airy differential equation. We show that their d…
Quadratic relations between Bessel moments
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
Motivated by the computation of certain Feynman amplitudes, Broadhurst and Roberts recently conjectured and checked numerically to high precision a set of remarkable quadratic rela…
Quadratic relations between periods of connections
Javier Fresán, Claude Sabbah, Jeng-Daw Yu
We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption…
Irregular Hodge numbers of confluent hypergeometric differential equations
Claude Sabbah, Jeng-Daw Yu
We give a formula computing the irregular Hodge numbers for a confluent hypergeometric differential equation.