## Found 1,945 Documents (Results 1–100)

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### The mean value of the class numbers of cubic function fields. (English)Zbl 07590519

MSC:  11R58 11R29
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### Analysis of minimal distance of AG-code associated with maximal curve of genus three. (Russian. English summary)Zbl 07643912

MSC:  14-XX 94-XX
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### Mean values of derivatives of $$L$$-functions for cyclotomic characters in function fields. (English)Zbl 1499.11348

MSC:  11R59 11R58
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### Construction of APN permutations via Walsh zero spaces. (English)Zbl 07614803

MSC:  94D10 94A60 11T71
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### On $$\mu$$-symmetric polynomials. (English)Zbl 07608430

MSC:  12Y05 68W30
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### On the parametrization of hyperelliptic fields with $$S$$-units of degrees 7 and 9. (English. Russian original)Zbl 07606791

Math. Notes 112, No. 3, 451-457 (2022); translation from Mat. Zametki 112, No. 3, 444-452 (2022).
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### Several classes of PcN power functions over finite fields. (English)Zbl 1498.94084

MSC:  94A60 11T71 12E20
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### Solving $$X^{2^{3n} + 2^{2n} + 2^n - 1} + (X + 1)^{2^{3n} + 2^{2n} + 2^n - 1} = b$$ in $$\mathbb{F}_{2^{4 n}}$$ and an alternative proof of a conjecture on the differential spectrum of the related monomial functions. (English)Zbl 1497.11288

MSC:  11T06 11T71 94D10
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### New discrete logarithm computation for the medium prime case using the function field sieve. (English)Zbl 07562702

MSC:  11T71 94A60
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### Investigation of automorphism group for code associated with optimal curve of genus three. (Russian. English summary)Zbl 1491.14043

MSC:  14G50 14H37 94B27
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### Non-existence results for vectorial bent functions with Dillon exponent. (English)Zbl 1492.94249

MSC:  94D10 94A60 11T71
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### On the problem of periodicity of continued fraction expansions of $$\sqrt{f}$$ for cubic polynomials $$f$$ over algebraic number fields. (English. Russian original)Zbl 1487.11070

Sb. Math. 213, No. 3, 412-442 (2022); translation from Mat. Sb. 213, No. 3, 139-170 (2022).
MSC:  11J70 11R27 11R58
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### Unrestricted quantum moduli algebras. I: The case of punctured spheres. (English)Zbl 07516856

MSC:  16R30 17B37 20G42 57M27 57R56 81R50
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### Motivic integration and Milnor fiber. (English)Zbl 1498.14032

MSC:  14E18 12J25 14B05
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### Ordered field valued continuous functions with countable range. (English)Zbl 1493.54018

MSC:  54C40 46E25
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### On nilpotent automorphism groups of function fields. (English)Zbl 1490.14046

MSC:  14H05 14H37
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### Non-vanishing of $$L$$-functions for cyclotomic characters in function fields. (English)Zbl 1497.11281

MSC:  11R59 11R60 11R58
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### The Hasse norm principle in global function fields. (English)Zbl 1498.11228

Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 275-290 (2021).
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### On the number of effective divisors in algebraic function fields defined over a finite field. (English)Zbl 1497.11280

Ballet, Stéphane (ed.) et al., Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 770, 29-49 (2021).
MSC:  11R58 11G20 14H05
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### Perfect powers in polynomial power sums. (English)Zbl 07605407

Adamović, Dražen (ed.) et al., Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 768, 89-104 (2021).
MSC:  11B37 12Y05 11R58
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### Optimization of the scalar complexity of Chudnovsky$$^2$$ multiplication algorithms in finite fields. (English)Zbl 1495.11146

MSC:  11Y16 14H05 11T71
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### On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental $$S$$-units of degree at most 11. (English. Russian original)Zbl 1482.11096

Dokl. Math. 104, No. 2, 258-263 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 45-51 (2021).
MSC:  11J70 11R58 11R27
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### Roth’s theorem over arithmetic function fields. (English)Zbl 1487.11069

MSC:  11J68 11J97 14G40
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### On a general bilinear functional equation. (English)Zbl 1479.39029

MSC:  39B52 39B72
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### On fundamental $$S$$-units and continued fractions constructed in hyperelliptic fields using two linear valuations. (English. Russian original)Zbl 1475.11133

Dokl. Math. 103, No. 3, 151-156 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 65-70 (2021).
MSC:  11J70 11R58 11R27
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### Lubin-Tate extensions and Carlitz module over a projective line: an explicit connection. (English)Zbl 1471.11285

MSC:  11S31 11G09 11R58
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### Genus fields of Kummer $$\ell^n$$-cyclic extensions. (English)Zbl 1477.11194

MSC:  11R60 11R58 11R29
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### Positivity of Hodge bundles of abelian varieties over some function fields. (English)Zbl 07384184

MSC:  14G17 14G10 14G25
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### On identities for zeta values in Tate algebras. (English)Zbl 1479.11159

MSC:  11M38 11G09 11R58
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### Adelic and idelic pairings related to Weil reciprocity on algebraic curves. (English)Zbl 1464.14027

Comparin, Paola (ed.) et al., Geometry at the frontier. Symmetries and moduli spaces of algebraic varieties. 2016–2018 workshops, Universidad de la Frontera, Pucón, Chile, November 2016, November 2017, November 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 766, 261-276 (2021).
MSC:  14H05 19F15 11R37
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### Intermediate rings of complex-valued continuous functions. (English)Zbl 1472.54007

MSC:  54C40 46E25
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### Infinite families of cyclotomic function fields with any prescribed class group rank. (English)Zbl 1485.11162

MSC:  11R60 11R29 11R58
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### On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry. (English. Russian original)Zbl 1482.11164

Russ. Math. Surv. 76, No. 1, 29-89 (2021); translation from Usp. Mat. Nauk 76, No. 1, 31-94 (2021).
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### Weierstrass semigroups on the Skabelund maximal curve. (English)Zbl 1468.11143

MSC:  11G20 14H05 14H55
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### A direct proof of APN-ness of the Kasami functions. (English)Zbl 1473.11225

MSC:  11T71 11T06 12E20
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### The geometric Bogomolov conjecture. (English)Zbl 1478.14045

MSC:  14G25 14G40
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### The norm theorem for semisingular quadratic forms. (English)Zbl 1486.11053

MSC:  11E04 11E08 11E81
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### $$z^0$$-ideals in intermediate rings of ordered field valued continuous function. (English)Zbl 1486.54030

MSC:  54C40 46J10
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### Arithmetic analogues of Hamiltonian systems. (English)Zbl 1473.12006

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 2. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 459, 13-40 (2020).
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### On the period length of a functional continued fraction over a number field. (English. Russian original)Zbl 1476.11016

Dokl. Math. 102, No. 3, 513-517 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 78-83 (2020).
MSC:  11A55 11J70 11R58
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### On the finiteness of the number of expansions into a continued fraction of $$\sqrt f$$ for cubic polynomials over algebraic number fields. (English. Russian original)Zbl 1479.11202

Dokl. Math. 102, No. 3, 487-492 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 48-54 (2020).
MSC:  11R58 11R27 11J70
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### On the problem of periodicity of continued fraction expansions of $$\sqrt f$$ for cubic polynomials over number fields. (English. Russian original)Zbl 1474.11127

Dokl. Math. 102, No. 1, 288-292 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 32-37 (2020).
MSC:  11J70 11R58 11R27
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### Approximation of quadratic algebraic lattices by integer lattices. II. (Russian. English summary)Zbl 1470.11196

MSC:  11J17 11J68 11H06
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### On the mean value of functions related to the divisors function in the ring of polynomials over a finite field. (Russian. English summary)Zbl 1470.11315

MSC:  11T55 11N37 11R58
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MSC:  11T71

### Monomial generalized almost perfect nonlinear functions. (English)Zbl 1485.11169

MSC:  11T71 94A60
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### The discriminant problem for Artin-Schreier extensions: explicit results. (English)Zbl 1457.11160

MSC:  11R58 11G20
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### Periodic elements $$\sqrt{f}$$ in elliptic fields with a field of constants of zero characteristic. (Russian. English summary)Zbl 1455.11155

MSC:  11R58 11J70 11R27
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### Weighted Erdős-Kac type theorems over Gaussian field in short intervals. (English)Zbl 1474.11169

MSC:  11N60 11N37 11N45
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