# Mathematical Physics Calculation of a Certain Determinant

Abstract : The $n×n$ determinant det[($a+j −i$) ($b+j +i$)] is evaluated. This completes the calculation of the Mellin transform of the probability density of the determinant of a random quaternion self-dual matrix taken from the gaussian symplectic ensemble. The inverse Mellin transform then gives the later probability density itself.
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Journal articles

Cited literature [4 references]

https://hal-cea.archives-ouvertes.fr/cea-02904796
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### Citation

Madan Lal Mehta, Rong Wang. Mathematical Physics Calculation of a Certain Determinant. Communications in Mathematical Physics, Springer Verlag, 2000, 214, pp.227 - 232. ⟨10.1007/s002200000260⟩. ⟨cea-02904796⟩

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