A new proof of some of Shintani's formulas

DOI10.1215/21562261-10607326OpenAlexW4375934009MaRDI QIDQ6116727

Mounir Hajli

Publication date: 18 July 2023

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-63/issue-3/A-new-proof-of-some-of-Shintanis-formulas/10.1215/21562261-10607326.full

zbMATH Keywords

theta functionsmeromorphic continuationzeta functionsShintani zeta functionBernoulli numbers and polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Other functions coming from differential, difference and integral equations (33E30) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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• A proof of the classical Kronecker limit formula
• Shintani-Barnes zeta and gamma functions
• A note on the Kronecker limit formula for real quadratic fields
• On Kronecker limit formula for real quadratic fields

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