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Average behaviour of Hecke eigenvalues over certain polynomial
Lalit Vaishya
In the article, we investigate the average behaviour of normalised Hecke eigenvalues over certain polynomials and establish an estimate for the power moments of the normalised Heck…
On the coefficients of -fold product -function
Ayyadurai Sankaranarayanan, Lalit Vaishya
Let be a normalized Hecke eigenforms of integral weight for the full modular group. In the article, we study the average behaviour of Fourier co…
Elliptic curve over totally real fields: A Survey
Bidisha Roy, Lalit Vaishya
In this survey article, we summarise the known results towards the conjecture: elliptic curves over totally real number fields are modular. For understanding these recent results i…
Figurate numbers, forms of mixed type and their representation numbers
B. Ramakrishnan, Lalit Vaishya
In this article, we consider the problem of determining formulas for the number of representations of a natural number by a sum of figurate numbers with certain positive intege…