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- W4306743889 abstract "Let F be a totally real number field and o the ring of integers of F. We study theta functions which are Hilbert modular forms of half-integral weight for the Hilbert modular group SL2(o). We obtain an equivalent condition that there exists a multiplier system of half-integral weight for SL2(o). We determine the condition of F that there exists a theta function which is a Hilbert modular form of half-integral weight for SL2(o). The theta function is defined by a sum on a fractional ideal of F." @default.
- W4306743889 created "2022-10-19" @default.
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- W4306743889 date "2023-02-01" @default.
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- W4306743889 title "On multiplier systems and theta functions of half-integral weight for the Hilbert modular group <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:msub><mml:mrow><mml:mi mathvariant=normal>SL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi mathvariant=fraktur>o</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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- W4306743889 doi "https://doi.org/10.1016/j.jnt.2022.09.005" @default.
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