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The Kloosterman Sum Revisited [PDF]
Canadian Mathematical Bulletin, 1973 Let p be an odd prime, n an integer not divisible by p and α a positive integer. For any integer h with (h,pα)=l, is defined as any solution of the congruence (mod,pα). The Kloosterman sum Ap α(n) (see for example [4]) is defined by(1.1)where the dash (') indicates that the letter of summation runs only through a reduced residue system with respect to
Kenneth S. Williams
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Algebra & Number Theory57 pages, some minor changes done and new references ...
Márton Erdélyi, Árpád Tóth
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Cancellations amongst Kloosterman sums [PDF]
Acta Arithmetica, 2016 10 ...
Shparlinski, Igor E., Zhang, Tianping
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Polynomials for Kloosterman Sums [PDF]
Canadian Mathematical Bulletin, 2007 AbstractFix an integer m > 1, and set ζm = exp(2πi/m). Let denote the multiplicative inverse of x modulo m. The Kloosterman sums , satisfy the polynomialwhere the sum and product are taken over a complete system of reduced residues modulo m. Here we give a natural factorization of fm(x), namely,where σ runs through the square classes of the group ...
S. Gurak
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Track Differences in Civic and Democratic Engagement During Secondary Education: A New Panel Study From the Netherlands. [PDF]
Br J SociolABSTRACT Whether students educated in different ability tracks in secondary education develop different levels of civic and democratic engagement is yet unclear. To explore this issue, we focus on how schools bring students of different tracks and family backgrounds together, and whether such between‐school differences are associated with varying ...
van de Werfhorst H +7 more
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On sums of hyper-Kloosterman sums
Forum Mathematicum, 2023 Abstract A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the spectrum of GL (
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An Algorithm for the explicit evaluation of GL(n, R) Kolsterman sums [PDF]
, 2009 An algorithm for the explicit evaluation of Kloosterman sums for GL(n, R) for n ≥2 and an implementation in the Mathematics package GL(n) pack are ...
Broughan, Kevin A.
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On moments of twisted $L$-functions [PDF]
, 2016 We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin +4 more
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Differential Effects of Self-Initiated, Externally Triggered, and Passive Movements on Action-Outcome Processing: Insights From Sensory and Motor-Preparatory Event Related Potentials. [PDF]
Eur J NeurosciWe investigated ERPs for active (self‐initiated), passive (finger dragged down by electromagnet), or quick (as fast as possible) movements, followed by visual stimuli. In sensory ERPs, active and quick movements showed reduced peak amplitudes relative to passive.
Ody E, Kircher T, He Y, Straube B.
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The transmission ability in a population of elite tetraploid potatoes. [PDF]
Plant GenomeAbstract Crop potato, Solanum tuberosum L., has great genetic improvement potential, but vegetative propagation, tetrasomic inheritance, and inbreeding depression have limited genetic gain in the elite gene pool. To elucidate the transmission ability of breeding material in the current elite gene pool, we estimated the additive genetic variance and ...
Aalborg T +5 more
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