MA3004 Topics in analytic number theory - Spring 2022

• Winston Heap and Andrés Chirre
  
• Email: winstonheap@gmail.com, carlos.a.c.chavez@ntnu.no
  
• Office: 902

• 18/01 The course is called “Topics in analytic number theory”, and we will have one meeting per week.
• 18/01 Kristian Seip will be with us.
• 18/01 We will start at the beginning of February. We will see how the pandemic situation is evolving during the following days. Then, we will have a meeting (around the ending of January) to discuss the schedule of this course.
• This course will only consist of expositions by students and the qualification will be PASS or NO PASS.
• 01/02 We will have our first meeting on Thursday 3 of February, 16:15pm, at the seminar room 734
• 03/02 Our first week (7-12 February) the classes will be on Tuesday 12pm-14pm and Thursday 10am-12pm.
• 03/02 The next weeks (from 14 February until the ending) we will have the following schedules:
  - Tuesday 12pm-14pm
  - Friday 12pm-14pm
  - Extra day: Monday 14pm-16pm
• 03/02 We will have a new Lecturer from 07 March-April. We will have on WEEK 10 (March 7-11), WEEK 14 (April 4-8), and WEEK 17 (April 25-29) physical lectures (3 times per week). The other weeks of the semester will have lectures by zoom (1 time per week on Fridays).
• 10/02 The rooms to our lectures in March-April will appear each week.
• Week 10:
  - Monday 7 March (14:15pm-16pm) in Seminaroom 734;
  - Tuesday 8 March (12:15pm-14pm) in Seminar Room 822;
  - Friday 11 March (12:15pm-14pm) in Seminar Room 822.
• Week 11:
  - Friday 18 March (12:15pm-14pm) by zoom in Geologi G21: https://NTNU.zoom.us/j/5859189418?pwd=R3lsSS8wQitOTzBHSS9hVUd6ODFBZz09
• Week 12:
  - Friday 25 March (12:15pm-14pm) by zoom in Geologi G21: https://NTNU.zoom.us/j/5859189418?pwd=R3lsSS8wQitOTzBHSS9hVUd6ODFBZz09
• Week 13:
  - Friday 01 April (12:15pm-14pm) by zoom in Geologi G21: https://NTNU.zoom.us/j/5859189418?pwd=R3lsSS8wQitOTzBHSS9hVUd6ODFBZz09
• Week 14:
  - Monday 4 April (14:15pm-16pm) in Seminar Room 822 ;
  - Tuesday 5 April (12:15pm-14pm) in Seminar Room 822;
  - Friday 8 April (12:15pm-14pm) in Sentralbygg 2 S5.
• Week 15: Easter
• Week 16:
  - Friday 22 April (12:15pm-14pm) by zoom in S5: https://NTNU.zoom.us/j/5859189418?pwd=R3lsSS8wQitOTzBHSS9hVUd6ODFBZz09
• Week 17:
  - Monday 25 April (14:15pm-16pm) in Seminaroom 734 ;
  - Tuesday 26 April (12:15pm-14pm) in Seminaroom 734;
  - Friday 29 April (12:15pm-14pm) in Sentralbygg 2: S5.

The exam of the course MA3004 will be Tuesday 31 May/2022 in room S5. The order will be:
1. William: 13:00pm – 13:40pm.
2. Sarah: 13:45 – 14:25pm
3. Markus: 14:30 – 15:10pm.

• We will understand the following papers:
  - Levinson: More than one-third of zeros of Riemann's zeta-function are on sigma=1/2
  - Young: A short proof of Levinson's theorem
• The expositions will be based on paper 2, divided as follows:
  - Markus: Section 1, Section 5;
  - Sarah: Section 2, Section 4 and Section 7;
  - William: Section 3, Section 6.
• The time of the exposition will be:
  - Tuesday 8 February (Seminar Room 734): Section 1;
  - Thursday 10 February (Seminar Room 734): Section 2; Section 3;
  - Friday 25 February (Sentralbygg 2 S5): Section 4;
  - Tuesday 01 March (Seminar Room 822): Section 5 and first part of Section 6;
  - Friday 04 March (Sentralbygg 2 S5): Second part of Section 6 and Section 7.