Shubhrajit Bhattacharya

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20232026

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math.NT2026

Cyclotomic norm congruences for zeta values and modular $L$ -values

Shubhrajit Bhattacharya, Anwesh Ray, R. Sujatha

We study congruences between special values of zeta functions and modular $L$ -functions in cyclotomic towers. The underlying mechanism is an integral norm congruence for finite-lev…

math.NT2025

Correlations of error terms for weighted prime counting functions

Shubhrajit Bhattacharya, Greg Martin, Reginald M. Simpson

Standard prime-number counting functions, such as $ψ (x)$ , $θ (x)$ , and $π (x)$ , have error terms with limiting logarithmic distributions once suitably normalized. The same is true of…

math.NT2023

On monic abelian trace-one cubic polynomials

Shubhrajit Bhattacharya, Andrew O'Desky

We compute the asymptotic number of monic trace-one integral polynomials with Galois group $C_{3}$ and bounded height. For such polynomials we compute a height function coming from t…

Cyclotomic norm congruences for zeta values and modular L-values

Correlations of error terms for weighted prime counting functions

On monic abelian trace-one cubic polynomials

Cyclotomic norm congruences for zeta values and modular $L$ -values