L-FUNCTIONS OF SYMMETRIC POWERS OF THE GENERALIZED AIRY FAMILY OF EXPONENTIAL SUMS
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Publication:3115733
DOI10.1142/S1793042111005040zbMath1333.11081arXiv1008.0408WikidataQ115522998 ScholiaQ115522998MaRDI QIDQ3115733
Antonio Rojas-León, C. Douglas Haessig
Publication date: 10 February 2012
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.0408
Exponential sums (11T23) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Trigonometric and exponential sums (general theory) (11L03)
Related Items (4)
\(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates) ⋮ \(L\)-functions associated with families of toric exponential sums ⋮ Hodge properties of Airy moments ⋮ Kloosterman sums and Hecke polynomials in characteristics 2 and 3
Cites Work
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- Families of Modular Eigenforms
- Higher rank case of Dwork’s conjecture
- Rank one case of Dwork’s conjecture
- Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields
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