A Lemma on Highly Ramified ...-Factors.
A local large sieve inequality for cusp forms
We prove a large sieve type inequality for Maass forms and holomorphic cusp forms with level greater or equal to one and of integral or half-integral weight in short interval.
A local trace formula
A lower bound for the rank of
A mean square formula for central values of twisted automorphic L-functions
A Modular Construction of Unramified p-Extension of Q (...).
A modular identity for the Ramanujan identity modulo 35.
A negative result on the representation of modular forms by theta series.
A new multiple Dirichlet series induced by a higher-order form
A new proof of the reciprocity theorem for Dedekind sums.
A new solution to the equation .
A new way to get Euler products.
A non-selfdual automorphic representation of GL3 and a Galois representation.
A Non-Vanishing Theorem for Zeta Functions of GLn
A note on automorphic forms.
A note on average behaviour of the Fourier coefficients of th symmetric power -function over certain sparse sequence of positive integers
Let be a given integer. Let be the set of all normalized primitive holomorphic cusp forms of even integral weight for the full modulo group . For , denote by the th normalized Fourier coefficient of th symmetric power -function () attached to . We are interested in the average behaviour of the sum where is sufficiently large, which improves the recent work of A. Sharma and A. Sankaranarayanan (2023).
A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms
A note on fields of definition
A Note on Link Complements and Arithmetic Groups.
A note on quadratic congruences.