Binary theta series and modular forms with complex multiplication

DOI10.1142/S1793042114500134zbMath1300.11038MaRDI QIDQ5494559

Ernst Kani

Publication date: 28 July 2014

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

zbMATH Keywords

binary quadratic formdihedral groupmodular formnewformGalois representationtheta seriescomplex multiplicationHecke algebra

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Galois representations (11F80)

Related Items (10)

Coincidence of $L$-functions ⋮ A certain eta-quotient and the class number of an imaginary quadratic field ⋮ Solvable lattice sums and quadratic Dirichlet $L$-values ⋮ On the vanishing of the coefficients of CM eta quotients ⋮ Stark points and the Hida-Rankin \(p\)-adic \(L\)-function ⋮ On the elliptic Stark conjecture at primes of multiplicative reduction ⋮ On Hecke modules generated by eta-products and imaginary quadratic fields ⋮ Isoclinism classes of Galois groups of number fields ⋮ Congruence formula for certain dihedral twists ⋮ Congruences of local origin and automorphic induction

Cites Work

• Unnamed Item
• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. II
• Charakterisierung der galoisschen Zahlkörper, deren zerlegte Primzahlen durch binäre quadratische Formen gegeben sind
• Endliche Gruppen I
• Modular Forms

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