Hyperderivatives of periods and quasi-periods for Anderson $t$-modules (Q6640523)

scientific article; zbMATH DE number 7946547

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English	Hyperderivatives of periods and quasi-periods for Anderson $t$-modules	scientific article; zbMATH DE number 7946547

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scholarly article

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title

Hyperderivatives of periods and quasi-periods for Anderson $t$-modules (English)

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author

Changningphaabi Namoijam

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Matthew A. Papanikolas

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publication date

20 November 2024

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zbMATH Keywords

Drinfeld modules

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Anderson $t$-modules

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$t$-motives

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dual $t$-motives

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periods

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quasi-periods

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logarithms

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quasi-logarithms

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rigid analytic trivializations

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hyperderivatives

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prolongations

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Determination of the algebraic relations among special $\Gamma$-values in positive characteristic

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Tensor powers of the Carlitz module and zeta values

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On special $L$-values of $t$-modules

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Universal Gauss-Thakur sums and $L$-series

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Hyperdifferential Properties of Drinfeld Quasi-Modular Forms

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On certain families of Drinfeld quasi-modular forms

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Q4203370

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Submodules of products of quasi-periodic modules

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Q4379435

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Q4252151

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Minimal extensions of algebraic groups and linear independence

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Linear independence and divided derivatives of a Drinfeld module II

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Linear independence of Gamma values in positive characteristic

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A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives

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Linear independence of monomials of multizeta values in positive characteristic

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Taylor coefficients of Anderson-Thakur series and explicit formulae

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On Multiple Polylogarithms in Characteristic $p$: $v$-Adic Vanishing Versus $\infty$-Adic Eulerianness

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On a conjecture of Furusho over function fields

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Algebraic relations among periods and logarithms of rank 2 Drinfeld modules

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Algebraic independence of periods and logarithms of Drinfeld modules

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Algebraic independence of arithmetic gamma values and Carlitz zeta values

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Geometric Gamma Values and Zeta Values in Positive Characteristic

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Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic

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An effective criterion for Eulerian multizeta values in positive characteristic

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Determination of algebraic relations among special zeta values in positive characteristic

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The digit principle

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Q4542312

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Canonical heights and Drinfeld modules

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Q4325416

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Derivatives of a Drinfeld module and transcendence

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Algebraic independence in characteristic two

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Q4515417

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Indépendance algébrique de logarithmes en caractéristique P

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Identities for Anderson generating functions for Drinfeld modules

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Rigid analytic geometry and its applications

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On the de Rham isomorphism for Drinfeld modules.

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Q3481810

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Q3972368

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The de Rham isomorphism for Drinfeld modules over Tate algebras

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Q4297085

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Q4714153

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Special zeta values using tensor powers of Drinfeld modules

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Tensor powers of rank 1 Drinfeld modules and periods

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Algebraic relations among Goss’s zeta values on elliptic curves

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On Log-Algebraic Identities for Anderson t-Modules and Characteristic p Multiple Zeta Values

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Special $L$-values and shtuka functions for Drinfeld modules on elliptic curves

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Tensor products of Drinfeld modules and $v$-adic representations

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Pink's theory of Hodge structures and the Hodge conjecture over function fields

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Q3222326

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A comparison of the Carlitz and digit derivatives bases in function field arithmetic

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Calculus in positive characteristic $p$

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Algebraic independence of values of Goss $L$-functions at $s=1$

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Prolongations of $t$-motives and algebraic independence of periods

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Algebraic independence of the Carlitz period and its hyperderivatives

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Anderson 𝑡-modules with thin 𝑡-adic Galois representations

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Periods of $t$-modules as special values

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Q4000091

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On a special class of polynomials.

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Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms

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Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients

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A Weil-Barsotti formula for Drinfeld modules.

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Theta operators, Goss polynomials, and v-adic modular forms

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Q3548601

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Values of certain $L$-series in positive characteristic

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An introduction to Mahler's method for transcendence and algebraic independence

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On certain generating functions in positive characteristic

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Vectorial Drinfeld modular forms over Tate algebras

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On hyperderivatives of single-cuspidal Drinfeld modular forms with $\mathcal{A}$-expansions

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Fractional Power Series and Pairings on Drinfeld Modules

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Q4492826

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Periods of $t$-motives and transcendence

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Artin $t$-motifs

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Gamma functions for function fields and Drinfeld modules

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Transcendence of gamma values for $\mathbb{F}_ q [T]$

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Q3158374

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Function field modular forms and higher derivations.

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Weierstrass points on the Drinfeld modular curve ${X_{0}(\mathfrak {p})}$

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Certain quantities transcendental over $\text{GF}(p^n,x)$

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Transcendence theory over function fields

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Transcendence and Drinfeld modules

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Transcendence and Drinfeld modules: Several variables

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Q3481811

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Transcendence and special zeta values in characteristic p

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Analytic homomorphisms into Drinfeld modules

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published in

Memoirs of the American Mathematical Society

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Mathematics(1 entry)

mardi Publication:6640523

Hyperderivatives of periods and quasi-periods for Anderson \(t\)-modules (Q6640523)

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Sitelinks

Mathematics(1 entry)