Found 1,185 Documents (Results 1–100)

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A class of power functions with four-valued Walsh transform and related cyclic codes. (English)Zbl 07576664

MSC:  94B15 11T24 11T71
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Character sums over affine spaces and applications. (English)Zbl 07576661

MSC:  11T24 12E20
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An explicit evaluation of $$10^{\text{th}}$$-power moment of quadratic Gauss sums and some applications. (English)Zbl 07556754

MSC:  11L05 11L07
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The mean value of the generalized Dirichlet $$L$$-functions with the weight of the Gauss sums. (English)Zbl 07537783

MSC:  11L05 11M20
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On Gauss sums over Dedekind domains. (English)Zbl 07537781

MSC:  11L05 11R04 11T55
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Generators of finite fields with prescribed traces. (English)Zbl 07525432

MSC:  12E20 11T24
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On certain determinants involving Legendre symbols. (English)Zbl 07510924

MSC:  11C20 11L05 11R29
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The number of solutions of diagonal cubic equations over finite fields. (English)Zbl 07505583

MSC:  11T23 11T24
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Gauss sums and the maximum cliques in generalized Paley graphs of square order. (English)Zbl 07499476

MSC:  11T24 05C69 11T30
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Lauricella hypergeometric series $$F_A^{(n)}$$ over finite fields. (English)Zbl 07493919

MSC:  33C65 11T24 11L99
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Certain transformations and special values of hypergeometric functions over finite fields. (English)Zbl 1490.33002

MSC:  33C05 11T24 33C20
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On the square-free and square-full solutions of polynomial congruences. (English)Zbl 07491369

MSC:  11T06 11L40 11T24
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On Weil sums, conjectures of Helleseth, and Niho exponents. (English)Zbl 07466550

MSC:  11T23 11T24
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$$p$$-adic valuations associated to fibers and images of polynomial functions. (English)Zbl 1487.11110

MSC:  11T24 11T06
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The generalized quadratic Gauss sums and its sixth power mean. (English)Zbl 07536390

MSC:  11L03 11L07
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The recurrence formula for the number of solutions of a equation in finite field. (English)Zbl 1484.11223

MSC:  11T24 11D72 11D79
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On the number of zeros of diagonal cubic forms over finite fields. (English)Zbl 07509474

MSC:  11T23 11T24
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Higher order moments of generalized quadratic Gauss sums weighted by $$L$$-functions. (English)Zbl 07503093

MSC:  11L05 11M20
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On the generalized quadratic Gauss sums and its upper bound estimate. (English)Zbl 1483.11171

MSC:  11L05 11L40
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Generalizations of Jacobsthal sums and hypergeometric series over finite fields. (English)Zbl 1475.11214

MSC:  11T24 11G20
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On pseudorandom subsets in finite fields I: measure of pseudorandomness and support of Boolean functions. (English)Zbl 07434716

MSC:  11K38 11K45 11T24 11T71 94C10 11T22
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On theta functions of binary quadratic forms with congruence condition. (English)Zbl 1485.11086

MSC:  11F27 11E16 11E45
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On the number of zeros to the equation $$f(x_1)+\cdots+f(x_n)=a$$ over finite fields. (English)Zbl 1484.11222

MSC:  11T23 11T24
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On primitive elements of finite fields avoiding affine hyperplanes. (English)Zbl 1490.11118

MSC:  11T30 11T24
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Hamming weight enumerators of multi-twisted codes with at most two non-zero constituents. (English)Zbl 1484.94023

MSC:  94B05 94B15
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MSC:  11T23
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MSC:  11L05

Large family of pseudorandom binary lattices by using the quadratic character in finite fields. (Chinese. English summary)Zbl 1488.11115

MSC:  11K45 11T24 11T71

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Multiplicative functions arising from the study of mutually unbiased bases. (English)Zbl 1479.11019

MSC:  11A25 11L05
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On Katz’s $$(A,B)$$-exponential sums. (English)Zbl 1489.11202

MSC:  11T24 14M25
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Arithmetic constraints of polynomial maps through discrete logarithms. (English)Zbl 1472.11305

MSC:  11T24 12E20
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Complete weight enumerators for several classes of two-weight and three-weight linear codes. (English)Zbl 1472.94088

MSC:  94B05 11T24
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Demazure formulas for weight polytopes. (English)Zbl 1479.52023

Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 287-294 (2021).
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MSC:  94B15
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Polya-Vinogradov inequality for polynomial character sums over finite fields. (English)Zbl 1469.11470

MSC:  11T24 11T55
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Linear codes with one-dimensional hull associated with Gaussian sums. (English)Zbl 1469.94140

MSC:  94B05 11T24 11T71
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MSC:  11T24
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On the distribution of multivariate Jacobi sums. (English)Zbl 1468.11238

MSC:  11T24 11K38 14G15
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Averages of point configuration problems over finite $$p$$-adic rings. (English)Zbl 07352285

MSC:  11T24 52C10
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A construction of $$p$$-ary linear codes with two or three weights. (English)Zbl 1465.94115

MSC:  94B05 11T71 11T23
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Gauss sums, superoscillations and the Talbot carpet. (English. French summary)Zbl 1460.35092

MSC:  35J10 32A15 47B38
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Small values of Weyl sums. (English)Zbl 1466.11054

MSC:  11L15 11L05 11J83
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MSC:  11T24
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Epsilon factors of representations of finite general linear groups. (English)Zbl 1473.11214

MSC:  11S37 11T24 20C33
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Some character sums of the polynomials. (English)Zbl 07522977

MSC:  11L10 11L40
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The number of rational points of certain quartic diagonal hypersurfaces over finite fields. (English)Zbl 1484.11220

MSC:  11T23 11L03 11T24
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On distribution properties of cubic residues. (English)Zbl 1484.11005

MSC:  11A15 11L40
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The primitive roots and a problem related to the golomb conjecture. (English)Zbl 1484.11224

MSC:  11T24 11A07 11D85
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On the number of solutions of two-variable diagonal quartic equations over finite fields. (English)Zbl 1484.11221

MSC:  11T23 11T24
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A certain new Gauss sum and its fourth power mean. (English)Zbl 1484.11171

MSC:  11L03 11L07
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The error term of the fourth power mean of the generalized cubic Gauss sums. (English)Zbl 1488.11122

MSC:  11L05 11L07

MSC:  11L07

Two constructions of asymptotically optimal codebooks via the trace functions. (English)Zbl 1469.94174

MSC:  94B65 11T24
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MSC:  11L05
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$$L$$-functions of twisted exponential sums over finite fields. (English)Zbl 1469.11346

MSC:  11M38 11T24 14G10
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Complete solution to cyclotomy of order $$2l^2$$ with prime $$l$$. (English)Zbl 1479.11209

MSC:  11T22 11T24
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Algebraic degrees of a class of exponential sums. (Chinese. English summary)Zbl 1474.11196

MSC:  11T23 11T24

Certain product formulas and values of Gaussian hypergeometric series. (English)Zbl 1467.33004

MSC:  33C05 11T24 33C20
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Hypergeometric $$L$$-functions in average polynomial time. (English)Zbl 1472.11316

Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 143-159 (2020).
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A class of exponential sums and sequence families. (English)Zbl 1459.11227

MSC:  11T23 11T24 94A55
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On the number of pairs of positive integers $$x, y \leq H$$ such that $$x^2+y^2+1, x^2+y^2+2$$ are square-free. (English)Zbl 1469.11263

MSC:  11L05 11N25 11N37
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Cyclotomic numbers and Jacobi sums: a survey. (English)Zbl 1472.11304

Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 119-140 (2020).
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Normal bases from 1-dimensional algebraic groups. (English)Zbl 1462.11111

MSC:  11T30 11T24 11G20
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On two lattice points problems about the parabola. (English)Zbl 1445.11058

MSC:  11J25 11P21
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Appell’s hypergeometric series over finite fields. (English)Zbl 1440.33012

MSC:  33C65 11T24
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Six constructions of asymptotically optimal codebooks via the character sums. (English)Zbl 1442.94001

MSC:  94A05 11T24
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