Year:    2023

CAM-Net Digest, Vol. 20 (2023), Iss. 22 : p. 11

Abstract

URL: http://link.springer.com/journal/11425/66/12/page/1
URL: https://www.sciengine.com/SCM/issue/66/12
URL: https://link.springer.com/journal/11425

In this issue
Special Issue on Analytic Number Theory Guest

This special issue is dedicated to Jing-run Chen's Theorem (1+2) on the Goldbach Conjecture, the proof of which was first published in SCIENCE CHINA Mathematics exactly 50 years ago.

The special issue is edited by Professors Liming Ge, Jianya Liu and Jie Wu. It contains 13 papers reflecting modern developments in Analytic Number Theory. It is a window to the latest achievements and a pathway to more glorious stories after Chen.

Foreword
Liming Ge, Jianya Liu, Jie Wu
Sci China Math, 66(12), 2023, 2665-2666
https://doi.org/10.1007/s11425-023-2233-x

The contribution of Jing-run Chen to number theory
Yitang Zhang
Sci China Math, 66(12), 2023, 2667-2667
https://doi.org/10.1007/s11425-023-2212-y

On infinite arithmetic progressions in sumsets
Yong-Gao Chen, Quan-Hui Yang, Lilu Zhao
Sci China Math, 66(12), 2023, 2669-2682
https://doi.org/10.1007/s11425-023-2177-2

Two upper bounds for the Erd?s-Hooley Delta-function
Régis de la Bretèche, Gérald Tenenbaum
Sci China Math, 66(12), 2023, 2683-2692
https://doi.org/10.1007/s11425-022-2193-8

On character sums with determinants
étienne Fouvry, Igor E. Shparlinski
Sci China Math, 66(12), 2023, 2693-2714
https://doi.org/10.1007/s11425-022-2122-0

Sifting for small primes from an arithmetic progression
John B. Friedlander, Henryk Iwaniec
Sci China Math, 66(12), 2023, 2715-2730
https://doi.org/10.1007/s11425-022-2123-2

The functional equations of Langlands Eisenstein series for $SL(n, \mathbb{Z})$
Dorian Goldfeld, Eric Stade, Michael Woodbury
Sci China Math, 66(12), 2023, 2731-2748
https://doi.org/10.1007/s11425-023-2213-y

A supplement to Chebotarev's density theorem
Gergely Harcos, Kannan Soundararajan
June Sci China Math, 66(12), 2023, 2749-2753
https://doi.org/10.1007/s11425-022-2141-1

Extreme central $L$-values of almost prime quadratic twists of elliptic curves
Shenghao Hua, Bingrong Huang
Sci China Math, 66(12), 2023, 2755-2766
https://doi.org/10.1007/s11425-022-2216-y

Rankin-Selberg coefficients in large arithmetic progressions
Emmanuel Kowalski, Yongxiao Lin, Philippe Michel
Sci China Math, 66(12), 2023, 2767-2778
https://doi.org/10.1007/s11425-023-2155-6

Triples of almost primes
Jiamin Li, Jianya Liu
Sci China Math, 66(12), 2023, 2779-2794
https://doi.org/10.1007/s11425-023-2226-5

A remark on density theorems for Riemann's zeta-function
János Pintz
Sci China Math, 66(12), 2023, 2795-2802
https://doi.org/10.1007/s11425-023-2215-7

On the saturation number for singular cubic surfaces
Yuchao Wang, Weili Yao
Sci China Math, 66(12), 2023, 2803-2818
https://doi.org/10.1007/s11425-023-2227-9

Bilinear forms with trace functions over arbitrary sets and applications to Sato-Tate
Ping Xi
Sci China Math, 66(12), 2023, 2819-2834
https://doi.org/10.1007/s11425-022-2184-9