Dirichlet series and automorphic functions associated to a quadratic form
نویسندگان
چکیده
منابع مشابه
Dirichlet series from automorphic forms
This integral trick assumes greater significance when the function f is known to have strong decay properties both at 0 and at ∞, since then the Mellin transform is entire in s. One way to ensure such rapid decay is via eigenfunction properties in the context of automorphic forms. [2] • The archetype Mellin transform: zeta from theta • Abstracting to holomorphic modular forms • Variation: wavef...
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Let Q be a positive definite integral quadratic form in ti variables, with the additional property that the adjoint form Q' is also integral. Using the functional equation of the Epstein zeta function, we obtain a symmetric functional equation of the ¿-function of Q with a primitive character to mod q (additive or multiplicative) defined by £io(2(x))C(x)-ï. Re(s) > nl2> where the summation exte...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2003
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000025502