Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 34 min ago
PreprintarXiv licencearXiv

Symmetric power L-functions of a weighted hyper-Kloosterman family

  • Bolun Wei
Open at sourcePDFDOICite

Abstract

As a natural generalization of the classical hyper-Kloosterman family studied by D. Haessig and S. Sperber, we study the k-th symmetric power L-functions attached to a weighted hyper-Kloosterman family Kln,m(t;x1,···,xn)=x1m+x2···+xn+t/(x1x2··· xn). Under suitable conditions, we determine the bounds of degrees of these L-functions and prove that their q-adic Newton polygons admit uniform lower bounds.

Related

  1. A power-sum obstruction to cyclotomicity in a family of symmetric numerical semigroups
    Zhi-Lin Zhang
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Finite Cotangent Power Sums Weighted by Additive Characters With Application to Mean Values of Additive-and-Multiplicatively Twisted L-Functions
    Abdelmejid Bayad, Salah Eddine Rihane
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Kloosterman Sums and Plücker Height Zeta Functions
    Li Cai, Jingsong Chai, Yadi Liu +1
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. Mixed moments of arithmetic functions and Kloosterman sums
    Yujiao Jiang, Yuk-Kam Lau
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  5. Quantum harmonic analysis and the Differential operators on weighted Bergman spaces of bounded symmetric domains
    Matthew Dawson, Vishwa Dewage, Gestur Olafsson
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{wei2026symmetric,
  title = {{Symmetric power L-functions of a weighted hyper-Kloosterman family}},
  author = {Bolun Wei},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08546},
  eprint = {2609.08546},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08546},
}
RIS
TY  - UNPB
TI  - Symmetric power L-functions of a weighted hyper-Kloosterman family
AU  - Bolun Wei
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08546
UR  - https://arxiv.org/abs/2609.08546
AB  - As a natural generalization of the classical hyper-Kloosterman family studied by D. Haessig and S. Sperber, we study the k-th symmetric power L-functions attached to a weighted hyper-Kloosterman family Kl_n,m(t;x_1,···,x_n)=x_1^m+x_2···+x_n+t/(x_1x_2··· x_n). Under suitable conditions, we determine the bounds of degrees of these L-functions and prove that their q-adic Newton polygons admit uniform lower bounds.
ER  -