Some new identities for Bernoulli-Carlitz numbers

DOI10.1016/0022-314X(89)90007-3zbMath0697.12012MaRDI QIDQ911650

Ernst-Ulrich Gekeler

Publication date: 1989

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

zbMATH Keywords

Bernoulli numbersideal class groupsrational function fieldCarlitz numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29)

Related Items

Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers, Multiplicative relations between coefficients of logarithmic derivatives of 𝔽_q-linear functions and applications, On regularity of small primes in function fields, Zeta measure associated to \({\mathbb{F}}_ q[T\)], Umbral calculus in positive characteristic, Cauchy-Carlitz numbers, On multi-poly-Bernoulli-Carlitz numbers, On von Staudt for Bernoulli-Carlitz numbers, On explicit formulae for Bernoulli numbers and their counterparts in positive characteristic, Appell-Carlitz numbers

Cites Work

• Kummer's theory for function fields
• On the coefficients of Drinfeld modular forms
• On power sums of polynomials over finite fields
• Von Staudt for \(\mathbb F_q[T\)]
• Jacobians of Drinfeld modular curves.
• Unnamed Item