Let G = GSp(2) be the symplectic group with similitude of degree two, which is defined over Q. For a generic cusp form F on the adelized group G(A) whose archimedean type is either a (limit of) large discrete series representation or a certain principal series representation, we show that its spinor L-function is continued to an entire function and satisfies the functional equation.
机构:
Sophia Univ, Fac Sci & Technol, 7-1 Kioi Cho,Chiyoda Ku, Tokyo 1028554, JapanSophia Univ, Fac Sci & Technol, 7-1 Kioi Cho,Chiyoda Ku, Tokyo 1028554, Japan
机构:
Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, IndiaHarish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
Ramakrishnan, B.
Shankhadhar, Karam Deo
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机构:
Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
Inst Math Sci, Madras 600113, Tamil Nadu, IndiaHarish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
Shankhadhar, Karam Deo
AUTOMORPHIC FORMS: RESEARCH IN NUMBER THEORY FROM OMAN,
2014,
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