L-functions of symmetric powers of the generalized Airy family of exponential sums

2016-06-072016-06-072011-12Haessig, C.D. y Rojas León, A. (2011). L-functions of symmetric powers of the generalized Airy family of exponential sums. International Journal of Number Theory, 7 (8), 2019-2064.http://hdl.handle.net/11441/42008This paper looks at the L-function of the kth symmetric power of the -sheaf Aif over the affine line associated to the generalized Airy family of exponential sums. Using ℓ-adic techniques, we compute the degree of this rational function as well as the local factors at infinity. Using p-adic techniques, we study the q-adic Newton polygon of the L-function.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/L-functionAiry familymonodromyNewton polygonL-functions of symmetric powers of the generalized Airy family of exponential sumsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1142/S1793042111005040https://idus.us.es/xmlui/handle/11441/42008