## Found 401 Documents (Results 1–100)

100
MathJax

### Non-Archimedean Sendov’s conjecture. (English)Zbl 07507901

MSC:  30G06 30C10 30C15
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### Growth of analytic functions in an ultrametric open disk and branched values. (English)Zbl 07481543

MSC:  30G06 30D35
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### On the extended class of SUPM and their generating URSM over non-Archimedean field. (English)Zbl 1483.30088

MSC:  30G06 30D35
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### A short note on a pair of meromorphic functions in a $$p$$-adic field, sharing a few small ones. (English)Zbl 1476.30154

MSC:  30G06 30D35
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### Relative $$(p,q)$$-$$\varphi$$ order based some growth analysis of composite $$p$$-adic entire functions. (English)Zbl 1475.30110

MSC:  30G06 30D20 30D35
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### On the value sharing of $$q$$-shift monomials of entire functions over non-archimedean field. (English)Zbl 07370141

MSC:  30G06 30D35

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### $$p$$-adic analytic functions. (English)Zbl 1473.30028

Hackensack, NJ: World Scientific (ISBN 978-981-12-2621-2/hbk; 978-981-12-2623-6/ebook). viii, 340 p. (2021).
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### URS and bi-URS for meromorphic functions in a non-Archimedean field. (English)Zbl 1456.30082

MSC:  30G06 30D30
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### Weighted integrability of $$p$$-adic Fourier transform. (English)Zbl 1456.30081

MSC:  30G06 42A38
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### On factorization of $$p$$-adic meromorphic functions. (English)Zbl 1467.30031

MSC:  30G06 30D30 30D20
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### $$p$$-adic numbers. An introduction. 3rd corrected and expanded edition. (English)Zbl 1436.11001

Universitext. Cham: Springer (ISBN 978-3-030-47294-8/pbk; 978-3-030-47295-5/ebook). vi, 373 p. (2020).
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### On the Nevanlinna-Cartan second main theorem for non-Archimedean holomorphic curves. (English)Zbl 1436.32065

MSC:  32H30 30G06
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### Survey on the Kakutani problem in $$p$$-adic analysis. I. (English)Zbl 1449.12002

MSC:  12J25 30G06 46S10
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### $$\ell$$-adic realization of some aspects of Landau-Ginzburg $$B$$-models. (English)Zbl 1451.32004

Ji, Lizhen (ed.) et al., Tsinghua lectures in mathematics. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 45, 213-225 (2019).
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### Nonstandard methods in Ramsey theory and combinatorial number theory. (English)Zbl 1432.05001

Lecture Notes in Mathematics 2239. Cham: Springer (ISBN 978-3-030-17955-7/pbk; 978-3-030-17956-4/ebook). xvi, 204 p. (2019).
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### Uniqueness for the difference monomials of $$p$$-adic entire functions. (English)Zbl 1435.30134

MSC:  30G06 30D20 30D35
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### Relative order and relative type based growth properties of iterated $$p$$ adic entire functions. (English)Zbl 1467.30030

MSC:  30G06 30D35
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### Generalized $$p$$-adic Fourier transform and estimates of integral modulus of continuity in terms of this transform. (English)Zbl 1432.30033

MSC:  30G06 11S80
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### New applications of the $$p$$-adic Nevanlinna theory. (English)Zbl 1432.30032

MSC:  30G06 30D35
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### Banach algebras of ultrametric Lipschitzian functions. (English)Zbl 1438.30141

MSC:  30D35 30G06 46S10
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### Ergodicity properties of $$p$$-adic $$(2,1)$$-rational dynamical systems with unique fixed point. (English)Zbl 1409.30043

Ibragimov, Zair (ed.) et al., Algebra, complex analysis, and pluripotential theory. 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017. Cham: Springer. Springer Proc. Math. Stat. 264, 217-226 (2018).
MSC:  30G06 30D05
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### Zariskian adic spaces. (English)Zbl 1406.30015

MSC:  30G06 14A20 12J25
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### Classical $$p$$-adic Nevanlinna theory and Nevalinna theory out of a hole. (Classical $$p$$-adic Nevanlinna theory and Nevanlinna theory out of a hole.) (English)Zbl 1431.30035

Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on $$p$$-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 704, 161-203 (2018).
MSC:  30G06 30D35 12J25
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### $$p$$-adic meromorphic functions $$f'P'(f)$$, $$g'P'(g)$$ sharing a small function, ignoring multiplicity. (English)Zbl 1431.30034

Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on $$p$$-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 704, 69-89 (2018).
MSC:  30G06 12J25 30D35
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### A functional equation characterization of Archimedean ordered fields. (English)Zbl 1416.12002

MSC:  12J15 12D15 30G06
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### Geometric location of periodic points of 2-ramified power series. (English)Zbl 1394.30031

MSC:  30G06 12J25 37P10
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### Value sharing and uniqueness for the power of $$p$$-adic meromorphic functions. (English)Zbl 1388.30056

MSC:  30G06 30D35
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### Bounded polynomials and holomorphic mappings between convex subrings of $$^\ast\mathbb C$$. (English)Zbl 1401.30055

MSC:  30G06 03H05 26E35
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### Value-sharing and uniqueness problems for non-Archimedean differential polynomials in several variables. (English)Zbl 1388.30055

MSC:  30G06 30D35
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### On the uniqueness problem of non-Archimedean meromorphic functions and their differential polynomials. (English)Zbl 1399.30153

MSC:  30G06 30D35

### P-adic Nevanlinna theory outside of a hole. (English)Zbl 1382.30065

MSC:  30G06 30D35
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### Value sharing problems for differential and difference polynomials of meromorphic functions in a non-Archimedean field. (English)Zbl 1367.30034

MSC:  30G06 30D30 30D35
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### Order, type and cotype of growth for $$p$$-adic entire functions: a survey with additional properties. (English)Zbl 1432.30031

MSC:  30G06 30-02
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### Picard values and uniqueness for $$p$$-adic meromorphic functions. (English)Zbl 1369.30048

MSC:  30G06 30D35
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### Survey on the $$p$$-adic Hayman conjecture. (English)Zbl 1404.30052

Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on $$p$$-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 57-71 (2016).
MSC:  30G06 12J25 30D35
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### The corona problem on a complete ultrametric algebraically closed field. (English)Zbl 1353.46056

MSC:  46S10 30G06
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### Advances in non-Archimedean Analysis. 13th international conference on $$p$$-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. (English)Zbl 1343.00036

Contemporary Mathematics 665. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). vii, 335 p. (2016).
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### Value distribution in $$p$$-adic analysis. (English)Zbl 1350.30002

Hackensack, NJ: World Scientific (ISBN 978-981-4730-10-5/hbk; 978-981-4730-12-9/ebook). xiii, 544 p. (2016).
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### On the growth of solutions of difference equations in ultrametric fields. (English)Zbl 1371.39021

MSC:  39B32 12H10 30G06
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### $$p$$-adic origamis. (English)Zbl 1354.30039

Izquierdo, Milagros (ed.) et al., Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces. Conference in honour of Emilio Bujalance, Linköping, Sweden, June 24–28, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1093-3/pbk; 978-1-4704-2058-1/ebook). Contemporary Mathematics 629, 225-243 (2015).
MSC:  30G06 30F99 14H99
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### Survey on Bezout rings of $$p$$-adic analytic functions. (English)Zbl 1349.30137

MSC:  30G06 30G20 30D35

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### Complex and $$p$$-adic branched functions and growth of entire functions. (English)Zbl 1329.30023

MSC:  30G06 30D35
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### Survey and additional properties on the transcendence order over $$\mathbb{Q}_p$$ in $$\mathbb{C}_p$$. (English)Zbl 1370.11086

MSC:  11J81 11J61 30G06
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### Uniform positive existential interpretation of the integers in rings of entire functions of positive characteristic. (English)Zbl 1329.11129

MSC:  11U05 30G06 12L05
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### On the norm of Krasner analytic functions with applications to transcendence results. (English)Zbl 1386.11132

MSC:  11S80 12J15 30G06
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### Vector bundles on curves and $$p$$-adic Hodge theory. (English)Zbl 1353.14033

Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 2. Cambridge: Cambridge University Press (ISBN 978-1-107-69363-0/pbk; 978-1-107-29752-4/ebook). London Mathematical Society Lecture Note Series 415, 17-104 (2014).
MSC:  14G22 11S80 30G06

### Unique range sets of 5 points for unbounded analytic functions inside an open disk. (English)Zbl 1340.30182

MSC:  30G06 30D35

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### Applications of branched values to $$p$$-adic functional equations on analytic functions. (English)Zbl 1309.30040

MSC:  30G06 30C35
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### Zeros of $$p$$-adic differential polynomials. (English)Zbl 1309.30039

MSC:  30G06 30D35
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### Growth of $$p$$-adic entire functions and applications. (English)Zbl 1359.30051

MSC:  30G06 12J25 30D35

MSC:  30G06
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### The $$p$$-adic Hayman conjecture when $$n=2$$. (English)Zbl 1339.30020

MSC:  30G06 12J25 30D35
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### Minkowski measurability and exact fractal tube formulas for $$p$$-adic self-similar strings. (English)Zbl 1321.37081

Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 161-184 (2013).
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### A brief survey of the study of power series and analytic functions on the Levi-Civita fields. (English)Zbl 1321.26059

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 269-279 (2013).
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### A generalized Keller space over a field with a valuation of rank $$\alpha>\omega$$. (English)Zbl 1323.30063

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 205-213 (2013).
MSC:  30G06 30B10 46S10
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### Partial fractional differentiability. (English)Zbl 1339.46071

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 179-204 (2013).
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### Survey on branched values and exceptional values for $$p$$-adic meromorphic functions. (English)Zbl 1331.30042

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 73-77 (2013).
MSC:  30G06 30D35 30-02
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### Morphisms between ultrametric Banach algebras and maximal ideals of finite codimension. (English)Zbl 1345.46061

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 63-71 (2013).
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### Survey on $$p$$-adic meromorphic functions $$f'P'(f) g'p'(g)$$ sharing a small function and additional properties. (English)Zbl 1333.30060

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 31-43 (2013).
MSC:  30G06 30D35
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### Some old and new results on zeros of the derivative of a $$p$$-adic meromorphic function. (English)Zbl 1333.30059

Shamseddine, Khodr (ed.), Advances in ultrametric analysis. Selected papers based on the presentations at the 12th international conference on $$p$$-adic functional analysis, Winnipeg, MB, Canada, July 2–6, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9142-1/pbk; 978-1-4704-1024-7/ebook). Contemporary Mathematics 596, 23-30 (2013).
MSC:  30G06 30D30 30D35
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### New results on applications of Nevanlinna methods to value sharing problems. (English)Zbl 1309.30038

MSC:  30G06 30C35
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### The Casoratian and $$p$$-adic difference equations. (Casoratien et équations aux différences $$p$$-adiques.) (French. English summary)Zbl 1314.12001

MSC:  12H99 11S80 30G06
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### On some ultrametric $$q$$-difference equations. (English)Zbl 1269.30048

MSC:  30G06 39A13
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### A generalization of strictly convergent power series and applications. (English)Zbl 1324.30094

MSC:  30G06 13J05 12J25

### Value sharing problem and uniqueness for $$p$$-adic meromorphic functions. (English)Zbl 1274.30158

MSC:  30G06 30D35

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