Abstract Mazur, Rubin, and Stein have recently formulated a series of conjectures about
statistical properties of modular symbols in order to understand central values of twists of …

We formulate a thermodynamical approach to the study of distribution of modular symbols,
motivated by the work of Baladi-Vall\'ee. We introduce the modular partitions of continued …

In the present paper, we prove that the first homology group of Bianchi 3-fold is generated by
the special Bianchi modular symbols. Also, we construct the integral valued p-adic L …

A PROOF OF THE CONJECTURE OF MAZUR-RUBIN-STEIN 1. Introduction Let f be a cusp
form of a level N and weight 2. For r ∈ Q ∩ ( Page 1 Bull. Korean Math. Soc. 58 (2021), No. 1 …

Let $ p $ be an odd prime. We show that the compositum of the Hecke field of a normalized
Hecke eigen cuspform for ${\rm GL}(2) $ over $\Bbb {Q} $ and a cyclotomic field of a $ p …

We prove the non-vanishing of special L-values of cuspidal automorphic forms on GL (2)
twisted by Hecke characters of prime power orders and totally split prime power conductors …