On power sums of polynomials over finite fields

DOI10.1016/0022-314X(88)90023-6zbMath0656.12007MaRDI QIDQ1109819

Ernst-Ulrich Gekeler

Publication date: 1988

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

zbMATH Keywords

polynomial gamma functionpower sums of polynomials over finite fieldsvalue of the zeta function

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Zeta functions and (L)-functions of number fields (11R42)

Related Items (17)

Sur la transcendance de la série formelle Π ⋮ Multiplicative relations between coefficients of logarithmic derivatives of 𝔽_q-linear functions and applications ⋮ Ordinary cyclotomic function fields ⋮ A Carlitz-von Staudt type theorem for finite rings ⋮ On regularity of small primes in function fields ⋮ Some new identities for Bernoulli-Carlitz numbers ⋮ Unnamed Item ⋮ Leading coefficient of the Goss Zeta value and p-ranks of Jacobians of Carlitz cyclotomic covers ⋮ Zeta measure associated to \({\mathbb{F}}_ q[T\)] ⋮ Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic ⋮ On the zeroes of Goss polynomials ⋮ A Formal Mellin Transform in the Arithmetic of Function Fields ⋮ Power sums of polynomials over finite fields and applications: a survey ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients ⋮ On the \(p\)-divisibility of class numbers of cyclotomic function fields ⋮ Compactification of Drinfeld moduli spaces as moduli spaces of 𝐴-reciprocal maps and consequences for Drinfeld modular forms

Cites Work

• Unnamed Item
• Kummer's theory for function fields
• The arithmetic of function fields. II: The 'cyclotomic' theory
• On the zeta function for function fields over \(F_ p\).
• Class-groups of function fields
• The \(\Gamma\)-function in the arithmetic of function fields
• Kummer and Herbrand criterion in the theory of function fields
• Von Staudt for \(\mathbb F_q[T\)]
• Power sums of polynomials in a Galois field
• A Note on Bernoulli-Goss Polynomials

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