Calculus in positive characteristic \(p\)

DOI10.1016/j.jnt.2010.12.006zbMath1225.13027OpenAlexW2094638696MaRDI QIDQ531844

Sangtae Jeong

Publication date: 20 April 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.12.006

zbMATH Keywords

positive characteristichyperantiderivativeshyperderivativeshyperdifferential froms

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Formal power series rings (13F25)

Related Items (8)

Theta operators, Goss polynomials, and v-adic modular forms ⋮ Remarks on Fermat quotient operators over function fields ⋮ Unnamed Item ⋮ Two generalized \(abc\) theorems for \(\mathbb F_q[t\)] ⋮ Shift operators and two applications to \(\mathbb{F}_qT\) ⋮ Unnamed Item ⋮ Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients ⋮ The classical umbral calculus and the flow of a Drinfeld module

Cites Work

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• On a question of Goss
• On certain families of Drinfeld quasi-modular forms
• Wronskians and linear independence in fields of prime characteristic
• Fourier series, measures and divided power series in the theory of function fields
• The digit principle
• Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
• On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic
• Semi-derivations et formule de Taylor en caractéristique \(p\)
• Groupes de Lie et hyperalgèbres de Lie sur un corps de caractéristique \(p>0\)
• Hyperdifferential Properties of Drinfeld Quasi-Modular Forms
• The Curious History of Faa di Bruno's Formula
• Linear independence and divided derivatives of a Drinfeld module II
• Explicit Formulas for Bernoulli Numbers
• Prehistory of Faà   di Bruno's Formula

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