Fall 2026

Analytic Number Theory

This course introduces the Riemann zeta function and Dirichlet L-functions, applying them to prime number distribution and quadratic fields.

offering recorded3 credits
Recorded instructors · Fall 2026 Niclas Technau3.7/5

Summary

1 / 3

Recent recorded grades — Fall 2019: 3.93 GPA, 100.0% A/AB (n=14 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Fall 2023: 3.93 GPA, 100.0% A/AB (n=15 letter grades).

Grade history

average GPA
letter grades
A
AB
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BC
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Prerequisites

Course map

Graduate/professional standing or declared in Mathematics VISP (graduate or dissertator)

    • Graduate/professional standing
    • declared in Mathematics VISP (graduate or dissertator)
    take one
MATH 749

This is a best-effort interpretation; check the catalog requirements above.

Prerequisite text tree
  • Any of
    • Graduate/professional standing
    • declared in Mathematics VISP (graduate or dissertator)

Professors

Fall 2026
/5Adjusted rating
/5RMP difficulty
captured reviews
About this rating

Raw average: 4.00/5 from 3 quality ratings. The adjusted rating blends this with the UW review average (3.66/5), weighted as 20 additional ratings. Smaller samples stay closer to that average. Each captured review is counted once in the prior; this does not correct who chooses to leave a review.

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Historical instructors & teaching patterns

Recorded history may be incomplete and does not establish a future schedule.

Calendar & sections

Fall 2026

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SectionModeEnrolled / capacityWaitlist
LEC 001Classroom Instruction15 / 350

Times are Central. Select a meeting for details; export includes recorded dates for the selected sections. Enrollment reflects scan time.

Meeting source records

Student experience

the class

Recent recorded grades — Fall 2019: 3.93 GPA, 100.0% A/AB (n=14 letter grades); Fall 2021: 4.00 GPA, 100.0% A/AB (n=16 letter grades); Fall 2023: 3.93 GPA, 100.0% A/AB (n=15 letter grades).

difficulty & workload

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Topics

  • Riemann zeta function and Dirichlet L-functions
  • Distribution of prime numbers
  • Arithmetic of quadratic fields

Skills

  • Understanding the Riemann zeta function and Dirichlet L-functions and their applications to prime number distribution and quadratic fields

Grades

Latest available · Fall 2023— not enough history to project Fall 2026.

average GPA
A / AB grades
letter grades
Instructor

Grade distribution · % of letter grades

A
AB
B
BC
C
D
F

Grades over time

Through Fall 2023

More grade details Grade mix, volume & source data

Not enough comparable courses for Fall 2026 in UW–Madison.

Sources & history

UW–Madison

Catalog & offerings

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Catalog observation history

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Selected offering source records
MATH 749 · Fall 2026

Analytic Number Theory

Recorded 2026-09-07
Raw records
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "offering_id": "1272:600:022328",
    "course_id": "MATH 749",
    "course_uid": "course_f32e1ae7afb72f8b801acebb",
    "term_id": "1272",
    "source_course_id": "022328",
    "source_subject_id": "600",
    "title": "Analytic Number Theory",
    "credits_min": 3,
    "credits_max": 3,
    "typically_offered": "Occasionally"
  }
]
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Model outputs & technical records
nvidia/Qwen3.6-35B-A3B-NVFP4
LLM outputs across runs
Full model traces

Recorded model configuration, reasoning, and tool conversations.

Model & dataset provenance
{
  "model": "nvidia/Qwen3.6-35B-A3B-NVFP4",
  "model_revision": "1355db6a052410cfd62085d94b58866fd0f2c3c5",
  "task_version": "14",
  "output_id": "fc5c8c74dcf8c8adca60335b08b20c284d98b978da3cff7f02da0ab032d73ca9",
  "requirements_status": "valid",
  "dataset_revision": "e243353dcb7d79b7247ced91d69443ef4c2a6349",
  "observed_at": "2026-09-07 15:55:43.033547+00:00"
}