Automorphic forms and algebraic extensions of number fields

DOI10.3792/pja/1195518624zbMath0317.10039OpenAlexW2166341324MaRDI QIDQ4078121

Hiroshi Saito

Publication date: 1975

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518624

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Automorphic forms, one variable (11F12) Totally real fields (11R80)

Related Items (6)

On the trace formula of the Hecke operators and the special values of the second L-functions attached to the Hilbert modular forms ⋮ Applications of the theory of modular forms to number theory ⋮ On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp ⋮ An elementary introduction to the Langlands program ⋮ On Shimura’s trace formula ⋮ SYMMETRIES FOR BORCHERDS LIFTS ON HILBERT MODULAR GROUPS AND HIRZEBRUCH–ZAGIER DIVISORS

Cites Work

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• Hilbert modular surfaces
• On Dirichlet series and abelian varieties attached to automorphic forms
• On the functional equation of certain Dirichlet series
• Eine VErallgemeinerung gewisser Dimensionsformeln von Shimizu
• Automorphic forms on \(\mathrm{GL}(2)\). Part II
• On the coincidence of two Dirichlet series associated to cusp forms of Hecke's Neben-type and Hilbert modular forms over a real quadratic field

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