A simple derivation of \(\zeta(1-K)=-B_K/K\).

zbMath1034.11048MaRDI QIDQ5933539

Marilyn Reece, M. Ram Murty

Publication date: 2000

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta-functionBernoulli numberHurwitz zeta functions

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Hurwitz and Lerch zeta functions (11M35)

Related Items (11)

The continuing story of zeta ⋮ On families of linear recurrence relations for the special values of the Riemann zeta function ⋮ A short account of the values of the zeta function at integers ⋮ An infinite sequence of inequalities involving special values of the Riemann zeta function ⋮ On \(p\)-adic Hurwitz-type Euler zeta functions ⋮ Some series involving the Euler zeta function ⋮ Nine Chapters of Analytic Number Theory in Isabelle/HOL. ⋮ Transcendental numbers and special values of Dirichlet series ⋮ The \((S, \{2 \})\)-Iwasawa theory ⋮ The Hurwitz zeta function as a convergent series ⋮ Euler-Riemann zeta function and Chebyshev-Stirling numbers of the first kind

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