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- W4214824336 abstract "Let χ be an order c multiplicative character of a finite field and f(x)=xd+λxe a binomial with (d,e)=1. We study the twisted classical and T-adic Newton polygons of f. When p>(d−e)(2d−1), we give a lower bound of Newton polygons and show that they coincide if p does not divide a certain integral constant depending on pmodcd. We conjecture that this condition holds if p is large enough with respect to c,d by combining all known results and the conjecture given by Zhang-Niu. As an example, we show that it holds for e=d−1." @default.
- W4214824336 created "2022-03-05" @default.
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- W4214824336 date "2022-06-01" @default.
- W4214824336 modified "2023-09-23" @default.
- W4214824336 title "On the Newton polygons of twisted L-functions of binomials" @default.
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- W4214824336 doi "https://doi.org/10.1016/j.ffa.2022.102026" @default.
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