Universality of certain diagonal quadratic forms for matrices over a ring of integers
Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 54-68pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: In 2018, Jungin Lee [5] gave a necessary and sufficient condition for a diagonal quadratic form where for all i, for representing all matrices over . In this paper, we will consider the imaginary quadratic field . Its ring of integers is a principal ideal domain. is the only imaginary quadratic field such that is a principal ideal domain and 2 is a product of two distinct primes in (upto units). With as above, in this paper we give a necessary and sufficient condition for a diagonal quadratic form where to represent all matrices over .| Item type | Current library | Status | Barcode | |
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School of Engineering & Technology Archieval Section | Not for loan | 2024-1549 |
In 2018, Jungin Lee [5] gave a necessary and sufficient condition for a diagonal quadratic form where for all i, for representing all matrices over . In this paper, we will consider the imaginary quadratic field . Its ring of integers is a principal ideal domain. is the only imaginary quadratic field such that is a principal ideal domain and 2 is a product of two distinct primes in (upto units). With as above, in this paper we give a necessary and sufficient condition for a diagonal quadratic form where to represent all matrices over .
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