Results 21 to 30 of about 324,501 (284)
Character sums over generalized Lehmer numbers
Journal of Inequalities and Applications, 2016 Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(n,q)=1$ , ψ be a non-principal Dirichlet character modq. An upper bound estimate for character sums of the form ∑ a ∈ C ( 1 , q ) ψ ( a ) $$\sum_{a\in\textit{C}(1 ...
Yuankui Ma +3 more
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From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]
, 2010 We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.
Wright, James
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Double Character Sums over Subgroups and Intervals [PDF]
, 2014 We estimate double sums $$ S_\chi(a, I, G) = \sum_{x \in I} \sum_{\lambda \in G} \chi(x + a\lambda), \qquad 1\le a < p-1, $$ with a multiplicative character $\chi$ modulo $p$ where $I= \{1,\ldots, H\}$ and $G$ is a subgroup of order $T$ of the ...
Bourgain +7 more
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Combinatoric topological string theories and group theory algorithms
Journal of High Energy Physics, 2022 A number of finite algorithms for constructing representation theoretic data from group multiplications in a finite group G have recently been shown to be related to amplitudes for combinatoric topological strings (G-CTST) based on Dijkgraaf-Witten ...
Sanjaye Ramgoolam, Eric Sharpe
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On certain character sums [PDF]
Transactions of the American Mathematical Society, 1961 where x(f(x)) = (f(x) | p), have been studied. The connection of ?P2(Q) and {13(Q) with the representations p=a2 +b2 (a=1 (mod 4)) and p=s2 +3t2 (s 1(mod 3)) of an odd prime p was established byjacobsthal [4] and von Schrutka [6]. It follows from the results of Jacobsthal that 4)2(1) has the value -2a or 0 according as p=a2+b2 or pla2+b2, and from the ...
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A Certain Mean Square Value Involving Dirichlet L-Functions
Mathematics, 2020 The main purpose of this article is using the elementary methods, the properties of Dirichlet L-functions to study the computational problem of a certain mean square value involving Dirichlet L-functions at positive integer points, and give some exact ...
Wenpeng Zhang, Di Han
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Note on the quadratic Gauss sums
International Journal of Mathematics and Mathematical Sciences, 2001 Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
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Stability of character sums for positive-depth, supercuspidal representations [PDF]
, 2013 We re-write the character formul{\ae} of Adler and the second-named author in a form amenable to explicit computations in $p$-adic harmonic analysis, and use them to prove the stability of character sums for a modification of Reeder's conjectural ...
DeBacker, Stephen, Spice, Loren
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P\'olya-Vinogradov and the least quadratic nonresidue [PDF]
, 2015 It is well-known that cancellation in short character sums (e.g. Burgess' estimates) yields bounds on the least quadratic nonresidue. Scant progress has been made on short character sums since Burgess' work, so it is desirable to find a new approach to ...
Bober, Jonathan, Goldmakher, Leo
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Tokyo Journal of Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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