A simple evaluation of a theta value, the Kronecker limit formula and a formula of Ramanujan

DOI10.1007/s11139-022-00586-0OpenAlexW4281645062WikidataQ113900549 ScholiaQ113900549MaRDI QIDQ2084559

Fernando Chamizo

Publication date: 18 October 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07245

zbMATH Keywords

gamma functiontheta functionKronecker limit formula

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Evaluation of number-theoretic constants (11Y60)

Cites Work

• Kronecker's first limit formula, revisited
• A One-Sentence Proof That Every Prime p≡1(\mod 4) Is a Sum of Two Squares
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
• A new proof of the limit formula of Kronecker
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