Quadratic polynomials, period polynomials, and Hecke operators

• Autorzy: Marie Jameson , Wissam Raji
• Języki publikacji: EN

Abstrakty

EN

For any non-square 1 < D ≡ 0,1 (mod 4), Zagier defined $F_{k}(D;x) :=∑_{\substack{a,b,c ∈ ℤ, a <0\\ b^2-4ac=D}} max(0,(ax^2+bx+c)^{k-1})$. Here we use the theory of periods to give identities and congruences which relate various values of $F_k(D;x)$.

Kategorie tematyczne

• 11F33: Congruences for modular and p -adic modular forms
• 11F67: Special values of automorphic L -series, periods of modular forms, cohomology, modular symbols

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 158
• Numer: 3
• Strony: 287-297

Daty

wydano

2013

Twórcy

autor

Marie Jameson

• Department of Mathematics, and Computer Science, Emory University, Atlanta, GA 30322, U.S.A.

autor

Wissam Raji

• Department of Mathematics, American University of Beirut, Beirut, Lebanon, and fellow at, Center for Advanced Mathematical Sciences, Beirut, Lebanon

Identyfikatory

DOI

10.4064/aa158-3-7