Examples of primitive degree 4 Lfunctions are:

$L(s, f, \mathrm{sym}^3)$: the symmetric cube Lfunction of a cusp form on GL(2)

$L(s, F, \mathrm{spin})$: spin Lfunction of a Siegel modular form on GSp(4) (genus 2)

$L(s,f)$: standard Lfunction of a cusp form on the Picard group SL(2,Z[i])

$L(s,f)$: standard Lfunction of a cusp form on Sp(4)

$L(s,f)$: standard Lfunction of a cusp form on GL(4)

$L(s,E)$: Lfunction of an elliptic curve over a quadratic field

$L(s,f)$: standard Lfunction of a Hilbert modular form on GL(2) over a real quadratic field
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 Last edited by Stephan Ehlen on 20190430 11:19:33
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 20190430 11:19:33 by Stephan Ehlen (Reviewed)
 20190430 10:15:36 by Stephan Ehlen (Reviewed)
 20190430 10:12:21 by Stephan Ehlen (Reviewed)
 20190430 10:12:06 by Stephan Ehlen
 20120624 13:39:12 by David Farmer