Results 61 to 70 of about 146 (124)
GENERALIZED D. H. LEHMER PROBLEM OVER SHORT INTERVALS
, 2010 Let n ≥ 2 be a fixed positive integer, q ≥ 3 and c, ℓ be integers with (nc, q)=1 and ℓ|n. Suppose and consist of consecutive integers which are coprime to q. We define the cardinality of a set: The main purpose of this paper is to use the estimates of
YUAN YI, PING XI
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On the fourth power mean of the general Kloosterman sums
Journal of Number Theory, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Families of generalized Kloosterman sums
, 2014 We construct p-adic relative cohomology for a family of toric exponential sums which generalize the classical Kloosterman sums. Under natural hypotheses such as quasi-homogeneity and nondegeneracy, this cohomology is acyclic except in the top dimension ...
C. Douglas, Haessig Steven Sperber
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On the fourth power mean of the analogous general Kloosterman sum
Journal of Number Theory, 2016 The authors study generalized Kloosterman sums \[ C(m,n,k,\chi;q)= \sum_{a=1}^{q}\chi(a)e\left(\frac{m\bar a^k+na}{q }\right), \] where \(q\), \(m\), \(n\), \(k\) are given positive integers, \(q \geq 3\), \(e(x)=e^{2\pi i x}\), \(a\bar a\equiv 1\pmod{q}\) and \(\chi\) is a character \(\mod{q}\).
Chen, Hui, Zhang, Tianping
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CoRR, 2009 In this paper, we construct two binary linear codes associated with multi-dimensional and $m -$multiple power Kloosterman sums (for any fixed $m$) over the finite field $\mathbb{F}_{q}$. Here $q$ is a power of two. The former codes are dual to a subcode of the binary hyper-Kloosterman code. Then we obtain two recursive formulas for the power moments of
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Generalized Kloosterman sum over the matrix ring Mn (Z[I])
, 2010 Побудовано узагальнення сум Клостермана на кільце матриць з цілими гауссовими елементами. Отримані оцінки цих суму випадку n = 2.Построено обобщение сумм Клостермана на кольцо матриц с целыми гауссовыми элементами.
Velichko, I. N. +2 more
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On the first power mean of L‐functions with the weight of general Kloosterman sums [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L‐functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
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On Some Applications of a Generalized Dwork Trace Formula to L-functions associated to Exponential Sums over Galois Rings [PDF]
, 2018 University of Minnesota Ph.D. dissertation. July 2018. Major: Mathematics. Advisor: Steven Sperber. 1 computer file (PDF); xv, 219 pages.Dwork’s trace formula is a seminal result proven by Bernard Dwork [Dwo60] (Section 2: Lemma 2), and it is one of the ...
Mohammed Ismail, Harris Ahmed
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Average non-vanishing of Dirichlet $L$-functions at the central point
, 2019 The Generalized Riemann Hypothesis implies that at least 50% of the central values $L \left( \frac{1}{2},χ\right)$ are non-vanishing as $χ$ ranges over primitive characters modulo $q$. We show that one may unconditionally go beyond GRH, in the sense that
Pratt, Kyle
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Uncovering spatial representations from spatiotemporal patterns of rodent hippocampal field potentials. [PDF]
Cell Rep Methods, 2021 Cao L, Varga V, Chen ZS.
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