Jacobi sum, differential equation modulo prime and logarithmic growth

DOI10.1016/j.jnt.2013.09.015zbMath1316.12006OpenAlexW2080962598WikidataQ115345752 ScholiaQ115345752MaRDI QIDQ2637202

Takahiro Nakagawa

Publication date: 7 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.09.015

zbMATH Keywords

\(p\)-adic differential equationdifferential equation modulo \(p\)

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) (p)-adic differential equations (12H25)

Cites Work

• The logarithmic growth of an element of the Robba ring which satisfies a Frobenius equation
• Log-growth filtration and Frobenius slope filtration of \(F\)-isocrystals at the generic and special points
• Apéry numbers, Jacobi sums, and special values of generalized \(p\)-adic hypergeometric functions
• On p-adic differential equations. II: The p-adic asymptotic behavior of solutions of ordinary linear differential equations with rational function coefficients
• On Jacobi sums, multinomial coefficients, and \(p\)-adic hypergeometric functions
• On special values of generalized p-adic hypergeometric functions
• Logarithmic growth and Frobenius filtrations for solutions ofp-adic differential equations
• Dwork’s conjecture on the logarithmic growth of solutions of p-adic differential equations
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