Marc Munsch

activity

20142026

most citedShifted moments of L functions and moments of theta functions

12 citations · 20 across the 22 of their papers we have counts for

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math.NT2015★ 12 cited

Shifted moments of L functions and moments of theta functions

Marc Munsch

Assuming the Riemann Hypothesis, Soundararajan showed that $\int_{0}^{T} ∣ ζ (1/2 + i t) ∣^{2 k} ≪ T (lo g T)^{k^{2} + ε}$ . His method was used by Chandee to obt…

math.NT2015

Upper and lower bounds for higher moments of theta functions

Marc Munsch, Igor E. Shparlinski

We obtain optimal lower bounds for moments of theta functions. On the other hand, we also get new upper bounds on individual theta values and moments of theta functions on average…

math.NT2015★ 2 cited

Distribution of factorials modulo p

Oleksiy Klurman, Marc Munsch

We prove that the sequence $n! (mod p)$ occupies at least $\frac{3}{2} N$ residue classes in the short interval $H \leq n \leq H + N$ and $N ≫ p^{\frac{1}{4}}$ improving prev…