On the class number of Q((2ra)2-yp)

Authors

• Rishabh Agnihotri, Indian Institute of Science
• Shanta Laishram, Indian Statistical Institute (Delhi Centre)
• Mohit Mishra, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Ramanujan Journal

Abstract

Let p be an odd prime, and let r>1 and a be positive integers such that 2∤a. In this article, we prove the existence of infinitely many integers y such that if (y,a)=1, then p divides class number of the imaginary quadratic field Q((2ra)2-yp).

First Page

1

Last Page

9

DOI

10.1007/s11139-024-00981-9

Publication Date

1-1-2025

Recommended Citation

Agnihotri, Rishabh; Laishram, Shanta; and Mishra, Mohit, "On the class number of Q((2ra)2-yp)" (2025). Journal Articles. 5500.
https://digitalcommons.isical.ac.in/journal-articles/5500