V. Muthuvel

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20232026

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math.NT2026

Inducing Whittaker Functions from Higher Ranks

Vishal Muthuvel

We construct a family of Whittaker functions for $S L (m, Z)$ induced directly from Whittaker functions for $S L (n, Z)$ , for any $2 \leq m < n$ . Given Jacquet's Whittake…

math.NT2026

Explicit Formulas for the Casimir Eigenvalues of $S L (n, Z)$ -Maass Forms

Vishal Muthuvel

Maass forms for $S L (n, Z)$ are defined to be eigenfunctions of the Casimir operators $D_{m, n}$ of orders $1 \leq m \leq n$ for $G L (n, R)$ . For any $1 \leq…

Inducing Whittaker Functions from Higher Ranks

Explicit Formulas for the Casimir Eigenvalues of SL(n,Z)-Maass Forms

Explicit Formulas for the Casimir Eigenvalues of $S L (n, Z)$ -Maass Forms