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SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION

Project: 1stProposal

Updated at: 27-04-2024

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A new proof of Halász’s theorem, and its consequences

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Updated at: 27-04-2024

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Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier

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Updated at: 27-04-2024

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WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?

Project: 1stProposal

Updated at: 27-04-2024

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Project acronym 1stProposal

Periodic Reporting for period 4 - 1stProposal (An alternative development of analytic number theory and applications)

Project: 1stProposal

Updated at: 27-04-2024

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Project acronym 1stProposal

Motohashi’s fourth moment identity for non-archimedean test functions and applications

Project: 1stProposal

Updated at: 27-04-2024

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Project acronym 1stProposal

A new proof of Hal\'asz's Theorem, and its consequences

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Updated at: 27-04-2024

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Project acronym 1stProposal

Spins of prime ideals and the negative Pell equation

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Updated at: 27-04-2024

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Standard zero-free regions for Rankin–Selberg L-functions via sieve theory

Project: 1stProposal

Updated at: 27-04-2024

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Project acronym 1stProposal

A note on the maximum of the Riemann zeta function on the 1-line

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Updated at: 27-04-2024

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Large character sums: Burgess's theorem and zeros of $L$-functions

Project: 1stProposal

Updated at: 27-04-2024

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SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE -BARRIER

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Updated at: 27-04-2024

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Project acronym 1stProposal

Beyond the LSD method for the partial sums of multiplicative functions

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Updated at: 27-04-2024

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Project acronym 1stProposal

Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions

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Updated at: 27-04-2024

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Project acronym 1stProposal

The frequency and the structure of large character sums

Project: 1stProposal

Updated at: 27-04-2024

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Project acronym 1stProposal

A more intuitive proof of a sharp version of Halász’s theorem

Project: 1stProposal

Updated at: 27-04-2024

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Project acronym 1stProposal

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SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION

A new proof of Halász’s theorem, and its consequences

Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier

WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?

Periodic Reporting for period 4 - 1stProposal (An alternative development of analytic number theory and applications)

Motohashi’s fourth moment identity for non-archimedean test functions and applications

A new proof of Hal\'asz's Theorem, and its consequences

Spins of prime ideals and the negative Pell equation

Standard zero-free regions for Rankin–Selberg L-functions via sieve theory

A note on the maximum of the Riemann zeta function on the 1-line

Large character sums: Burgess's theorem and zeros of $L$-functions

SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE -BARRIER

Beyond the LSD method for the partial sums of multiplicative functions

Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions

The frequency and the structure of large character sums

A more intuitive proof of a sharp version of Halász’s theorem