On Shimura’s trace formula

DOI10.1017/S0027763000017803zbMath0351.10018OpenAlexW1486901374MaRDI QIDQ4120631

Shinji Niwa

Publication date: 1977

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000017803

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12)

Related Items

Remarks on Kohnen-Zagier's paper concerning Fourier coefficients of modular forms of half integral weight, Newforms of half-integral weight, On twisting operators and newforms of half-integral weight, On traces of Hecke operators on the spaces of cusp forms of half-integral weight, On newforms of half-integral weight and Jacobi forms, Signs of Fourier coefficients of half-integral weight modular forms, Hecke algebras, new vectors and new forms on \(\Gamma_0(m)\), Siegel modular cusp forms of degree two, Values of L-series of modular forms at the center of the critical strip, On the theory of newforms of half-integral weight, On twisting operators and newforms of half-integral weight II – Complete theory of newforms for Kohnen space, Trace identities of twisted Hecke operators on the spaces of cusp forms of half-integral weights, On Fourier coefficients of modular forms of half integral weight at squarefree integers, Computation of Maass waveforms with nontrivial multiplier systems, On Fourier coefficients and certain periods of modular forms, Theory of newforms for Eisenstein series of half-integral weight, Quantum unique ergodicity for half-integral weight automorphic forms, Newforms of Half-integral Weight: The Minus Space Counterpart, Modular forms of half-integral weight on \(\Gamma_0(4)\), Optimal mock Jacobi theta functions, Modular forms, Heegner points, cycles and Maass forms

Cites Work

• On the trace formula for Hecke operators
• Hecke polynomials as congruence \(\zeta\) functions in elliptic modular case
• On modular forms of half integral weight
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• On the traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• On construction of holomorphic cusp forms of half integral weight
• Automorphic forms and algebraic extensions of number fields
• On a Classical Theta-Function