\(p\)-adic variation of unit root \(L\)-functions

DOI10.2140/pjm.2017.288.129zbMath1431.11132arXiv1512.06258OpenAlexW2343262688MaRDI QIDQ523422

C. Douglas Haessig, Steven I. Sperber

Publication date: 21 April 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06258

zbMATH Keywords

\(L\)-functionunit roothypergeometric

Mathematics Subject Classification ID

Exponential sums (11T23)

Related Items (2)

\(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates) ⋮ Unit roots of the unit root \(L\)-functions of Kloosterman family

Cites Work

• \(L\)-functions associated with families of toric exponential sums
• Meromorphy of the rank one unit root \(L\)-function revisited
• On unit root formulas for toric exponential sums
• Dwork's conjecture on unit root zeta functions
• \(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates)
• Normalized period matrices. I: Plane curves
• Families of Modular Eigenforms
• Higher rank case of Dwork’s conjecture
• Rank one case of Dwork’s conjecture

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