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Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 115-132 (2019).

MSC: 11G20 14H10 14H40 14G15 14K10 14G10 11M38 14K22 11G10 14H30

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Samovol, V. S.

On asymptotic forms of solutions to the Riccati equation. (English) Zbl 1445.34040

Asymptotic Anal. 115, No. 3-4, 223-239 (2019).

MSC: 34A34 34A05 34D05

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Yoshino, Masafumi; Kurogi, Kenji

An example of a non 1-summable partial differential equation. (English) Zbl 1437.35151

RIMS Kôkyûroku Bessatsu B75, 203-209 (2019).

MSC: 35C10 35A20

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Lushin, Alexey; Pochekutov, Dmitry

Toric cycles in the complement to a complex curve in \(({\mathbb{C}^\times})^2\). (English) Zbl 1475.14119

Math. Nachr. 292, No. 12, 2654-2661 (2019).

MSC: 14T20 14T15 32A27 32A60

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Nguyen, Hong-Duc; Phạm, Tien-Son; Hoàng, Phi-Dũng

Topological invariants of plane curve singularities: polar quotients and Łojasiewicz gradient exponents. (English) Zbl 1446.32022

Int. J. Math. 30, No. 14, Article ID 1950073, 19 p. (2019).

Reviewer: Tadeusz Krasiński (Łódź)

MSC: 32S05 58K65 14H20

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Vasilyev, A. V.; Parusnikova, A. V.

On various approaches to asymptotics of solutions to the third Painlevé equation in a neighborhood of infinity. (English. Russian original) Zbl 1434.34078

J. Math. Sci., New York 241, No. 3, 318-326 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 70-78 (2017).

Reviewer: Dmitry Sinelshchikov (Moskva)

MSC: 34M55 34M25

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Ren, Rufei

Newton slopes for twisted Artin-Schreier-Witt towers. (English) Zbl 1459.11229

Int. J. Number Theory 15, No. 10, 2089-2105 (2019).

MSC: 11T23 11L07 11G20 11M41

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Dais, Dimitrios I.

On the twelve-point theorem for \(\ell\)-reflexive polygons. (English) Zbl 1429.52016

Electron. J. Comb. 26, No. 4, Research Paper P4.29, 75 p. (2019).

Reviewer: Felipe Zaldívar (Mexico City)

MSC: 52B20 14M25

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Tran, Bach Le

A Reider-type result for smooth projective toric surfaces. (English) Zbl 1423.14226

Hibi, Takayuki (ed.) et al., Algebraic and geometric combinatorics on lattice polytopes. Proceedings of the summer workshop on lattice polytopes, Osaka, Japan, July 23 – August 10, 2018. Hackensack, NJ: World Scientific. 424-434 (2019).

MSC: 14J26 14M25

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Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing

Newton polygons arising from special families of cyclic covers of the projective line. (English) Zbl 1460.11088

Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019).

MSC: 11G18 11G20 14G10 14G35 14H10 14H30 14H40

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Samovol, V. S.

On convergent series expansions of solutions of the Riccati equation. (English. Russian original) Zbl 1419.34062

Math. Notes 105, No. 4, 592-603 (2019); translation from Mat. Zametki 105, No. 4, 603-615 (2019).

MSC: 34A25 34A34

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Shokri, Khosro Monsef; Shaffaf, Jafar; Taleb, Reza

Galois groups of Taylor polynomials of some elementary functions. (English) Zbl 1444.11225

Int. J. Number Theory 15, No. 6, 1127-1141 (2019).

MSC: 11R32 11F85 11R29

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Michalska, Maria; Walewska, Justyna

Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities. (English) Zbl 1411.14011

Bull. Braz. Math. Soc. (N.S.) 50, No. 1, 95-117 (2019).

Reviewer: Vladimir P. Kostov (Nice)

MSC: 14B07 14N10 32S30

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Bonciocat, Anca Iuliana; Bonciocat, Nicolae Ciprian

Irreducibility criteria for the sum of two relatively prime multivariate polynomials. (English) Zbl 1427.11110

Result. Math. 74, No. 1, Paper No. 65, 10 p. (2019).

Reviewer: Artūras Dubickas (Vilnius)

MSC: 11R09 11C08

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Ha, Huy Vui; Dang, van Doat

On the global Łojasiewicz inequality for polynomial functions. (English) Zbl 1427.14117

Ann. Pol. Math. 122, No. 1, 21-47 (2019).

Reviewer: Zofia Denkowska (Angers)

MSC: 14P05 14P15 14H50

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Kidwell, Mark E.; Luse, Kerry M.

The Alexander polynomial of a rational link. (English) Zbl 1416.57005

J. Knot Theory Ramifications 28, No. 3, Article ID 1950004, 28 p. (2019).

Reviewer: Leila Ben Abdelghani (Monastir)

MSC: 57M25 57M27

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Hu, Youren; Gao, Xiao-Shan

Ritt-Wu characteristic set method for Laurent partial differential polynomial systems. (English) Zbl 1470.12003

J. Syst. Sci. Complex. 32, No. 1, 62-77 (2019).

Reviewer: Andy R. Magid (Norman)

MSC: 12H05

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Li, Jinghao; Vasiu, Adrian

Purity of crystalline strata. (English) Zbl 1451.14063

Tunis. J. Math. 1, No. 4, 519-538 (2019).

Reviewer: Andrea Marrama (Paris)

MSC: 14F30 14L05 11G10 14G35 11G18 14K10 14K99 14L15

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Shin, Yeongtae

The \(L^{p} \rightarrow L^{q}\) estimates for degenerate Radon transforms in \(\mathbb{C}^2\). (English) Zbl 1419.42016

J. Math. Anal. Appl. 471, No. 1-2, 519-540 (2019).

MSC: 42B25

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Pavkov, Ivan; Ralević, Nebojša M.; Nedović, Ljubo

An application of bivariate polynomial factorization on decoding of Reed-Solomon based codes. (English) Zbl 1488.94101

Appl. Anal. Discrete Math. 12, No. 1, 166-177 (2018).

MSC: 94B05 13P05

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Kurogi, Kenji

Counterexample to the 1-summability of a divergent formal solution to some linear partial differential equations. (English) Zbl 1426.35071

Funkc. Ekvacioj, Ser. Int. 61, No. 2, 219-227 (2018).

Reviewer: Alberto Lastra Sedano (Burgos)

MSC: 35C10 35A20

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Kim, Jang Soo; Song, U-Keun

Proof of Chapoton’s conjecture on Newton polygons of \(q\)-Ehrhart polynomials. (English) Zbl 1411.05031

Sémin. Lothar. Comb. 80B, Article 27, 12 p. (2018).

MSC: 05A30 52B20 06A11

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Found 499 Documents (Results 1–100)

Quadrature formulas for Bessel polynomials. (English) Zbl 07677399

On index divisors and monogenity of certain septic number fields defined by \(x^7 + ax^3 + b\). (English) Zbl 07675447

Continuity of roots for polynomials over valued fields. (English) Zbl 07664517

On the geometric determination of extensions of non-Archimedean absolute values. (English) Zbl 07661843

Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9. (English) Zbl 07661842

Gevrey regularity of the solutions of inhomogeneous nonlinear partial differential equations. (English) Zbl 07653408

Newton polygon of exponential sums in two variables with triangular base. (English) Zbl 07640845

\(T\)-adic exponential sums over affinoids. (English) Zbl 07595064

Characterization of second type plane foliations using Newton polygons. (English) Zbl 07660091

Toric varieties of Schröder type. (English. Russian original) Zbl 07618851

Computing the conformal barycenter. (English) Zbl 07600663

Generic Newton polygon of the \(L\)-function of \(n\) variables of the Laurent polynomial I. (English) Zbl 07600114

Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon. (English) Zbl 1503.39002

On the Galois groups of some recursive polynomials. (English) Zbl 1507.11100

On nonmonogenic number fields defined by \(x^6+ax+b\). (English) Zbl 1506.11135

L-functions of certain exponential sums over finite fields. II. (English) Zbl 07575695

Resolution of singularities of 2-dimensional real analytic constrained differential systems. (English) Zbl 1504.34021

\(L\)-functions of exponential sums and Hasse polynomials. (English) Zbl 1503.11142

Explicit integral basis of \(\mathbb{Q}(\sqrt[p_1 p_2]{a})\). (English) Zbl 1504.11114

Goss polynomials, \(q\)-adic expansions, and Sheats compositions. (English) Zbl 07567832

Integrability at infinity of negative powers of polynomials in the plane and its application to convergence of Dirichlet series. (English) Zbl 1494.42015

Combinatorial expression of the fundamental second kind differential on an algebraic curve. (English) Zbl 1492.14054

On power integral bases of certain pure number fields defined by \(x^{3^r\cdot 7^s}-m\). (English) Zbl 07558464

Discriminant and integral basis of sextic fields defined by \(x^6+ax+b\). (English) Zbl 1502.11107

On convergent series expansions for solutions of nonlinear ordinary differential equations. (English. Russian original) Zbl 1502.34018

Topological type of discriminants of some special families. (English) Zbl 07551303

A quasi-linear irreducibility test in \(\mathbb{K}[[x]][y]\). (English) Zbl 1494.13033

Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\). (English) Zbl 1502.11031

Nonmonogenity of number fields defined by trinomials. (English) Zbl 1493.11146

Essays in constructive mathematics. With contribution by David A. Cox. 2nd edition. (English) Zbl 1498.11002

On the Galois group of three classes of trinomials. (English) Zbl 1484.11205

On the solutions of ordinary differential equations in the form of Dulac series. (English) Zbl 1495.34019

Newton polygons for \(L\)-functions of generalized Kloosterman sums. (English) Zbl 07502666

On the degrees of irreducible factors of a polynomial. (English) Zbl 1492.12001

The moduli space of tropical curves with fixed Newton polygon. (English) Zbl 1480.14009

Summability of the formal power series solutions of a certain class of inhomogeneous nonlinear partial differential equations with a single level. (English) Zbl 1487.35183

L-functions of certain exponential sums over finite fields. (English) Zbl 1501.11103

Generic Newton polygons for \(L\)-functions of \((A, B)\)-exponential sums. (English) Zbl 1484.11217

On power integral bases for certain pure number fields defined by \(x^{2\cdot 3^k}-m\). (English) Zbl 1491.11098

Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models. (English. French summary) Zbl 1478.92154

Slopes of overconvergent Hilbert modular forms. (English) Zbl 1475.11087

Kloosterman sums and Hecke polynomials in characteristics 2 and 3. (English) Zbl 1475.11142

Winding number of \(r\)-modular sequences and applications to the singularity content of a Fano polygon. (English) Zbl 07411166

Models of curves over discrete valuation rings. (English) Zbl 1482.11088

Newton polygons of \(L\)-functions associated to Deligne polynomials. (English) Zbl 1472.11302

Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity. (English) Zbl 1472.35090

On asymptotic series expansions of solutions to the Riccati equation. (English. Russian original) Zbl 1472.34022

Prime ideal factorization in a number field via Newton polygons. (English) Zbl 07361083

Computation of residual polynomial operators of inductive valuations. (English) Zbl 1471.13010

Milnor numbers in deformations of homogeneous singularities. (English) Zbl 1477.32052

Estimates of formal solutions for some generalized moment partial differential equations. (English) Zbl 1465.35101

Gevrey estimates of formal solutions for certain moment partial differential equations with variable coefficients. (English) Zbl 1465.35103

The irreducibility of some Wronskian Hermite polynomials. (English) Zbl 1456.11206

Constancy of Newton polygons of \(F\)-isocrystals on abelian varieties and isotriviality of families of curves. (English) Zbl 1467.14060

\(p\)-adic estimates of exponential sums on curves. (English) Zbl 1470.11172

Wild ramification in trinomial extensions and Galois groups. (English) Zbl 1460.11136

The generalized lower order of Dirichlet series. (English) Zbl 1499.30257

Asymptotic expansions of solutions to the Riccati equation. (English. Russian original) Zbl 1486.34047

\(L\)-functions of twisted exponential sums over finite fields. (English) Zbl 1469.11346

\(L^p\)-theory for a fluid-structure interaction model. (English) Zbl 1464.35174

Irreducibility criteria for compositions of multivariate polynomials over arbitrary fields. (English) Zbl 1488.12002

Combinatorics and their evolution in resolution of embedded algebroid surfaces. (English) Zbl 1466.14034

Hasse polynomials of \(L\)-functions of certain exponential sums. (English) Zbl 1456.11230

Generic Newton polygon for exponential sums in \(n\) variables with parallelotope base. (English) Zbl 1492.14036

Erratum to: “Slope filtrations”. (English) Zbl 1472.14022

On Newton polygons techniques and factorization of polynomials over Henselian fields. (English) Zbl 1446.13004

Newton polygon and distribution of integer points in sublevel sets. (English) Zbl 1469.11392

Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in \(\mathbb{R}^{1+3}\). (English) Zbl 1448.35070

Pushforwards of \(p\)-adic differential equations. (English) Zbl 1477.12005

Maillet type theorem for nonlinear totally characteristic partial differential equations. (English) Zbl 1445.35113

First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. (English) Zbl 1441.15007

Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic. (English) Zbl 1468.11144

On the irreducible factors of a polynomial. II. (English) Zbl 1443.12002

Blurred combinatorics in resolution of singularities: (A little) Beyond the characteristic polytope. (English) Zbl 1440.14150

Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems. (English) Zbl 1437.35150

Mahler measure of a non-tempered Weierstrass form. (English) Zbl 1445.11122