SU\G(𝔸)/K·U

On a conjecture of Montgomery and Soundararajan

Régis de la Bretèche, Daniel Fiorilli

Type: Article

Publication Date: 2021-05-05

Citations: 3

DOI: https://doi.org/10.1007/s00208-021-02179-6

Locations

  • Mathematische Annalen - View
  • arXiv (Cornell University) - View - PDF
  • HAL (Le Centre pour la Communication Scientifique Directe) - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Moments of moments of primes in arithmetic progressions 2023 Régis de la Bretèche
Daniel Fiorilli
+ Moments of moments of primes in arithmetic progressions 2020 Régis de la Bretèche
Daniel Fiorilli
+ Lower bounds on weighted moments of primes in short intervals in number fields 2023 Régis de la Bretèche
Vivian Kuperberg
+ Lower bounds on weighted moments of primes in short intervals in number fields 2025 Régis de la Bretèche
Vivian Kuperberg
+ A remark on an inequality for the prime counting function 2005 Dietrich Burde
+ $\lambda$-th moments of primes in short intervals 2004 Tsz Ho Chan
+ The variance of integers without small prime factors in short intervals 2021 Ofir Gorodetsky
+ PDF Chat Large prime factors on short intervals 2019 Jori Merikoski
+ PDF Chat Primes in arithmetic progressions on average II 2024 Tomos Parry
+ PDF Chat On certain inequalities for the prime counting function 2021 József Sándor
+ PDF Chat A NOTE ON PRIMES IN SHORT INTERVALS 2006 Tsz Ho Chan
+ New bounds for the prime counting function \pi(x) 2014 Christian Axler
+ On the Riemann Hypothesis and the Difference Between Primes 2014 Adrian Dudek
+ On the Riemann Hypothesis and the Difference Between Primes 2014 Adrian Dudek
+ Improving bounds on prime counting functions by partial verification of the Riemann hypothesis 2021 Daniel R. Johnston
+ New bounds for the prime counting function π(x) 2014 Christian Axler
+ New Bounds for the Prime Counting Function. 2016 Christian Axler
+ PDF Chat Sharp Power Mean Bounds for Sándor Mean 2015 Yu‐Ming Chu
Zhen-Hang Yang
Limin Wu
+ PDF Chat On the Riemann hypothesis and the difference between primes 2014 Adrian Dudek
+ Inequalities For The Primes Counting Function 2018 N. A. Carella

Works That Cite This (3)

Action Title Year Authors
+ PDF Chat Moments of moments of primes in arithmetic progressions 2023 Régis de la Bretèche
Daniel Fiorilli
+ Lower bounds on weighted moments of primes in short intervals in number fields 2025 Régis de la Bretèche
Vivian Kuperberg
+ Disproving a weaker form of Hooley's conjecture 2025 Mounir Hayani

Works Cited by This (46)

Action Title Year Authors
+ Higher correlations of divisor sums related to primes III: k-correlations 2002 D. A. Goldston
C. Y. Yıldırım
+ Multiplicative Number Theory 1980 H. Davenport
+ Sharp conditional bounds for moments of the Riemann zeta function 2013 Adam J. Harper
+ Pair Correlation of Zeros and Primes in Short Intervals 1987 D. A. Goldston
Hugh L. Montgomery
+ Introduction to Analytic and Probabilistic Number Theory 2015 Gérald Tenenbaum
+ On the pair correlation conjecture for zeros of the Riemann zeta-function. 1988 D. A. Goldston
+ The number of primes in a short interval. 1988 D. R. Heath‐Brown
+ PDF Chat Moments of the Riemann zeta function 2009 K. Soundararajan
+ THE SECOND MOMENT FOR PRIME NUMBERS 1984 D. A. Goldston
+ PDF Chat Arithmetic equivalent of essential simplicity of zeta zeros 1983 Julia Mueller