共查询到20条相似文献,搜索用时 15 毫秒
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Soon-Mo Jung 《Applied Mathematics Letters》2011,24(8):1322-1325
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Ping Sun 《Discrete Mathematics》2012,312(24):3649-3655
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Let denote the finite field of order q of characteristic p. We study the p-adic valuations for zeros of L-functions associated with exponential sums of the following family of Laurent polynomials where , . When , the estimate of the associated exponential sum appears in Iwaniecʼs work on small eigenvalues of the Laplace–Beltrami operator acting on automorphic functions with respect to the group , and Adolphson and Sperber gave complex absolute values for zeros of the corresponding L-function. Using the decomposition theory of Wan, we determine the generic Newton polygon (q-adic values of the reciprocal zeros) of the L-function. Working on the chain level version of Dworkʼs trace formula and using Wanʼs decomposition theory, we are able to give an explicit Hasse polynomial for the generic Newton polygon in low dimensions, i.e., . 相似文献
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《Discrete Mathematics》2007,307(17-18):2209-2216
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《Discrete Mathematics》2007,307(9-10):1115-1135
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《Applied Mathematics Letters》2006,19(8):820-823
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Aysel Erey 《Discrete Mathematics》2018,341(5):1419-1431
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《Discrete Mathematics》2006,306(10-11):886-904
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Let be a finite group, written multiplicatively. The Davenport constant of is the smallest positive integer such that every sequence of with elements has a non-empty subsequence with product . Let be the Dihedral Group of order and be the Dicyclic Group of order . Zhuang and Gao (2005) showed that and Bass (2007) showed that . In this paper, we give explicit characterizations of all sequences of such that and is free of subsequences whose product is 1, where is equal to or for some . 相似文献