A formal power series of a Hecke ring associated with the Heisenberg lie algebra over ℤp

DOI10.1142/S1793042115501055zbMath1390.11079OpenAlexW2227293003WikidataQ115244599 ScholiaQ115244599MaRDI QIDQ3458258

Fumitake Hyodo

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1142/s1793042115501055

zbMATH Keywords

rationalityHecke seriesHecke rings

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Cites Work

• Jacobi-Hecke algebras and a rationality theorem for a formal Hecke series
• On the \(\zeta\)-functions of a division algebra
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. II
• RATIONALITY THEOREMS FOR HECKE SERIES AND ZETA FUNCTIONS OF THE GROUPSGL_nandSP_nOVER LOCAL FIELDS
• ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS

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