18 citations · 23 across the 3 of their papers we have counts for
5 papers
The large sieve for square moduli in function fields
Stephan Baier, Rajneesh Kumar Singh
We prove a lower and an upper bound for the large sieve with square moduli for function fields. These bounds correspond to bounds for the classical large sieve with square moduli e…
Product Formulas for Periods of CM Abelian Varieties and the Function Field Analog
Urs Hartl, Rajneesh Kumar Singh
We survey Colmez's theory and conjecture about the Faltings height and a product formula for the periods of abelian varieties with complex multiplication, along with the function f…
Large sieve inequality with power moduli for function fields
Stephan Baier, Rajneesh Kumar Singh
In this paper, we establish a general version of the large sieve with additive characters for restricted sets of moduli in arbitrary dimension for function fields. From this, we de…
Periods of Drinfeld modules and local shtukas with complex multiplication
Urs Hartl, Rajneesh Kumar Singh
Colmez conjectured a product formula for periods of abelian varieties over number fields with complex multiplication and proved it in some cases. His conjecture is equivalent to a…
Local Shtukas and Divisible Local Anderson Modules
Urs Hartl, Rajneesh Kumar Singh
We develop the analog of crystalline Dieudonné theory for p-divisible groups in the arithmetic of function fields. In our theory p-divisible groups are replaced by divisible local…