5 citations · 17 across the 12 of their papers we have counts for
14 papers
Dynamical generalizations of the two-point Chowla conjecture
Biao Wang, Shaoyun Yi
In 1965, Chowla conjectured that the values of the Liouville function become asymptotically uncorrelated at consecutive natural numbers. Recently, the two-point case is resolved by…
Asymptotic uncorrelations between functions with squarefull kernel and functions of invariant average
Xiang Su, Biao Wang, Shaoyun Yi
In 1986, Ivić and Tenenbaum introduced arithmetic functions with squarefull kernel, which are also called -functions. Later, Erdős and Ivić gave an asymptotic estimate on the sh…
Some ergodic theorems over squarefree numbers and squarefull numbers
Huixi Li, Biao Wang, Chunlin Wang +1
In 2022, Bergelson and Richter gave a new dynamical generalization of the prime number theorem by establishing an ergodic theorem along the number of prime factors of integers. The…
Some remarks on strong multiplicity one for paramodular forms
Xiyuan Wang, Zhining Wei, Pan Yan +1
We establish several refined strong multiplicity one results for paramodular cusp forms by using automorphic and Galois-theoretic methods. We also give an application to distinguis…
On covering systems of polynomial rings over finite fields
Huixi Li, Biao Wang, Chunlin Wang +1
In 1950, Erdős posed a question known as the minimum modulus problem on covering systems for , which asked whether the minimum modulus of a covering system with distinc…
Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem
Biao Wang, Zhining Wei, Pan Yan +1
In this paper, we study the linear independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Respectively,…
On the minimum modulus problem in number fields
Huixi Li, Biao Wang, Shaoyun Yi
The minimum modulus problem on covering systems was posed in 1950 by Erdős, who asked whether the minimum modulus of a covering system with distinct moduli is bounded. In 2007, Fil…
On distinguishing Siegel cusp forms of degree two
Zhining Wei, Shaoyun Yi
In this work, we establish several results on distinguishing Siegel cusp forms of degree two. In particular, a Hecke eigenform of level one can be determined by its second Hecke ei…
Dimension formulas for Siegel modular forms of level
Manami Roy, Ralf Schmidt, Shaoyun Yi
We prove several dimension formulas for spaces of scalar-valued Siegel modular forms of degree with respect to certain congruence subgroups of level . In case of cusp forms,…
Classical and adelic Eisenstein series
Manami Roy, Ralf Schmidt, Shaoyun Yi
We carry out ``Hecke summation'' for the classical Eisenstein series in an adelic setting. The connection between classical and adelic functions is made by explicit calculati…
Congruences for dimensions of spaces of Siegel cusp forms and -core partitions
Chiranjit Ray, Manami Roy, Shaoyun Yi
Using the relationship between Siegel cusp forms of degree and cuspidal automorphic representations of , we derive some congruences inv…
Generalizations of Alladi's formula for arithmetical semigroups
Lian Duan, Ning Ma, Shaoyun Yi
In this article, we prove that a general version of Alladi's formula with Dirichlet convolution holds for arithmetical semigroups satisfying Axiom or Axiom . As applica…
Analogues of Alladi's formula over global function fields
Lian Duan, Biao Wang, Shaoyun Yi
In this paper, we show an analogue of Kural, McDonald and Sah's result on Alladi's formula for global function fields. Explicitly, we show that for a global function field , if…
On counting cuspidal automorphic representations for
Manami Roy, Ralf Schmidt, Shaoyun Yi
We find the number of cuspidal automorphic representations of with trivial central character such that the archimedean componen…