character sums
An identity involving the mean value of two term character sums
... These sums play a very important role in the study of analytic number theory, so they caused many number theorists’ interest and ...the sums N(n, r, s, χ; q) is a special case of the general ...
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A conjecture of Erdös, supersingular primes and short character sums
... short character sums due to Burgess and to Graham & ...(short) character sum that is unusually large, corresponding to each Frey-Hellegouarch ...short character sums and the large ...
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One kind hybrid character sums and their upper bound estimates
... The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we ...
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Upper bound estimate of character sums over Lehmer’s numbers
... About character sums ...odd character mod p. If χ is a non-principal even character mod p, then how large is the upper bound estimate of ...the character sums over some special ...
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Some estimate of character sums and its applications
... The main purpose of this paper is using the elementary methods and the properties of Gauss sums to give a sharp estimate for some character sums. Then using this estimate to prove the existence of ...
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Character sums over generalized Lehmer numbers
... At almost the same time, Han and Zhang [] obtained an upper bound estimate of the character sums over Lehmer numbers as a∈A,p.. where χ is an arbitrary non-principal character modulo [r] ...
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Differences between powers of a primitive root
... for any fixed interval J ⊂ R . The pair correlation problem is similar to Odlyzko’s prob- lem, but it is more tractable due to the extra average over h. This problem is solved in [4] for N > p 5/7+ , the result being ...
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On general partial Gaussian sums
... 1. Burgess, DA: Partial Gaussian sums. Bull. Lond. Math. Soc. 20(6), 589-592 (1988) 2. Burgess, DA: Partial Gaussian sums. II. Bull. Lond. Math. Soc. 21(2), 153-158 (1989) 3. Burgess, DA: Partial Gaussian ...
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An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums
... The main purpose of this paper is using the analytic method and the properties of the character sums to study the hybrid mean value properties of G(χ , n; p) and S(χ, p), and to give an interesting mean ...
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Class number formulas via 2‐isogenies of elliptic curves
... the character sums associated to 2-isogenies given in the specific form ...the character sums are unaffected by applying a change of coordinates x → x − ε to the ...
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On divergence and sums of derivations
... Key words and phrases: polynomial ring, derivation, divergence, jacobian deri- vation, transcendence basis.... , x n] is invariant under action of automorphisms of this ring.[r] ...
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Dinh
... In view of the trace representation (2) of C, it is natural to study the weight distributions of irreducible cyclic codes (i.e., t = 1) and the duals of cyclic codes with two or three zeros (i.e., t = 2 or 3). There are ...
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Lattices of partial sums
... partial sums of real numbers and any effective assignment of real values to such indeterminate becomes a valuation on these lattices (classical results concerning the valuations on a distributive lattice and their ...
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The hybrid power mean of the quartic Gauss sums and the two term exponential sums
... Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear recurrence formula for ...
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SUMS OF THE POWERS OF RECIPROCALS OF POLYGONAL NUMBERS
... The sums of the reciprocals of polygonal numbers has been obtained by other authors, ...finite sums using Harmonic numbers and related functions (generalized Harmonic numbers, generalized Harmonic function ...
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6. On $L_{1}$ convergence of certain cosine sums
... authors introduced modified trigonometric sums as these sums approximate their limits better than the classical trigonometric series in the sense that they converge in L 1 -metric to the[r] ...
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The moment of maximum normed randomly weighted sums of martingale differences
... weighted sums have been an attractive research topic in the literature of applied ...weighted sums of independent random ele- ments in Banach spaces; Thanh et ...weighted sums of mixing processes and ...
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Cyclotomy of order 15 over GF(p2), p=4, 11(mod15)
... During the preparation of this paper, a number of Eisenstein sums, Jacobi sums, Dickson-Hurwitz sums, cyclotomic numbers, were computed for several values of p.. These computations were [r] ...
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Sums of cubes with shifts
... for sums of five shifted squares. We can also handle sums of nine univariate cubic polynomials, subject to an irrationality condition, improving on the thirteen variable result apparent from Freeman’s work ...
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On the mean value of the two term Dedekind sums
... describes the behaviour of the logarithm of the eta-function (see [, ]) under modular transformations. Many authors have studied the arithmetical properties of S(h, q) and ob- tained many interesting results; see, for ...
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