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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3 papers · 1 filter

math.NT2026

Small values of signed harmonic sums and logarithmic means of multiplicative functions

Oleksiy Klurman, Marc Munsch, Yu-Chen Sun

We construct sequences ${a_{n}}_{n \in N} \in {- 1, 1}^{N}$ with small values of signed harmonic sums \[ \sum_{n\in\mathcal{A}\cap[1,N]}\frac{a_n}{n}, \] for any reas…

math.NT2026

Large values of $L (σ, χ)$ over sets of characters with small product set

Pranendu Darbar, Bryce Kerr, Marc Munsch +1

We obtain (conditional and unconditional) results on large values of $L$ -functions $L (s, χ)$ in the critical strip $1/2 \leq ℜ s \leq 1$ when the character $χ$ runs through the ra…

math.NT2026

Large sieve inequality for sums of Legendre symbols over short intervals

Marc Munsch, Igor Shparlinski, Yu-Chen Sun +1

Using the Burgess bound and the Selberg sieve, we obtain an upper bound for the second moment of sums of Legendre symbols over intervals , with the modulus ranging over primes . Th…

Small values of signed harmonic sums and logarithmic means of multiplicative functions

Large values of L(σ,χ) over sets of characters with small product set

Large sieve inequality for sums of Legendre symbols over short intervals

Large values of $L (σ, χ)$ over sets of characters with small product set