Is there any research problems in number theory an undergrad can give a try?












2














I am an undergrad student and have a deep interest in number theory and now I am learning analytic number theory own for 3-4 months. I have also covered group theory. I want to work on research problems in Number theory. Unfortunately in my institute there is no Prof who works on Number theory.



Is there research problems that can be attacked by an undergraduate(may be part of an open problems) with a good background in Number theory?



I have checked this answer, but in my country there are very few institutes working on Number theory and they are not accepting interns. I have to work on my own.






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  • 2




    Basically, no. If it's a research problem, it probably requires techniques that are far beyond undergraduate level (algebraic geometry for instance). However, you could give a try to historical problems that are tractable by a good undergrad (say, Fermat's theorem for low exponents). You could also have a look at good introductory books in this area (Ireland & Rosen comes to mind, maybe Guy)
    – Jean-Claude Arbaut
    Nov 21 '18 at 8:24












  • Ok, if I manage to get help, can you name some problems then?
    – OppoInfinity
    Dec 1 '18 at 17:59
















2














I am an undergrad student and have a deep interest in number theory and now I am learning analytic number theory own for 3-4 months. I have also covered group theory. I want to work on research problems in Number theory. Unfortunately in my institute there is no Prof who works on Number theory.



Is there research problems that can be attacked by an undergraduate(may be part of an open problems) with a good background in Number theory?



I have checked this answer, but in my country there are very few institutes working on Number theory and they are not accepting interns. I have to work on my own.






reference-request big-list







share|cite|improve this question




















  • 2




    Basically, no. If it's a research problem, it probably requires techniques that are far beyond undergraduate level (algebraic geometry for instance). However, you could give a try to historical problems that are tractable by a good undergrad (say, Fermat's theorem for low exponents). You could also have a look at good introductory books in this area (Ireland & Rosen comes to mind, maybe Guy)
    – Jean-Claude Arbaut
    Nov 21 '18 at 8:24












  • Ok, if I manage to get help, can you name some problems then?
    – OppoInfinity
    Dec 1 '18 at 17:59














2












2








2


1





I am an undergrad student and have a deep interest in number theory and now I am learning analytic number theory own for 3-4 months. I have also covered group theory. I want to work on research problems in Number theory. Unfortunately in my institute there is no Prof who works on Number theory.



Is there research problems that can be attacked by an undergraduate(may be part of an open problems) with a good background in Number theory?



I have checked this answer, but in my country there are very few institutes working on Number theory and they are not accepting interns. I have to work on my own.






reference-request big-list







share|cite|improve this question















I am an undergrad student and have a deep interest in number theory and now I am learning analytic number theory own for 3-4 months. I have also covered group theory. I want to work on research problems in Number theory. Unfortunately in my institute there is no Prof who works on Number theory.



Is there research problems that can be attacked by an undergraduate(may be part of an open problems) with a good background in Number theory?



I have checked this answer, but in my country there are very few institutes working on Number theory and they are not accepting interns. I have to work on my own.






reference-request big-list




reference-request big-list






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 21 '18 at 8:15

























asked Nov 21 '18 at 8:09









OppoInfinity

1819




1819








  • 2




    Basically, no. If it's a research problem, it probably requires techniques that are far beyond undergraduate level (algebraic geometry for instance). However, you could give a try to historical problems that are tractable by a good undergrad (say, Fermat's theorem for low exponents). You could also have a look at good introductory books in this area (Ireland & Rosen comes to mind, maybe Guy)
    – Jean-Claude Arbaut
    Nov 21 '18 at 8:24












  • Ok, if I manage to get help, can you name some problems then?
    – OppoInfinity
    Dec 1 '18 at 17:59














  • 2




    Basically, no. If it's a research problem, it probably requires techniques that are far beyond undergraduate level (algebraic geometry for instance). However, you could give a try to historical problems that are tractable by a good undergrad (say, Fermat's theorem for low exponents). You could also have a look at good introductory books in this area (Ireland & Rosen comes to mind, maybe Guy)
    – Jean-Claude Arbaut
    Nov 21 '18 at 8:24












  • Ok, if I manage to get help, can you name some problems then?
    – OppoInfinity
    Dec 1 '18 at 17:59








2




2




Basically, no. If it's a research problem, it probably requires techniques that are far beyond undergraduate level (algebraic geometry for instance). However, you could give a try to historical problems that are tractable by a good undergrad (say, Fermat's theorem for low exponents). You could also have a look at good introductory books in this area (Ireland & Rosen comes to mind, maybe Guy)
– Jean-Claude Arbaut
Nov 21 '18 at 8:24






Basically, no. If it's a research problem, it probably requires techniques that are far beyond undergraduate level (algebraic geometry for instance). However, you could give a try to historical problems that are tractable by a good undergrad (say, Fermat's theorem for low exponents). You could also have a look at good introductory books in this area (Ireland & Rosen comes to mind, maybe Guy)
– Jean-Claude Arbaut
Nov 21 '18 at 8:24














Ok, if I manage to get help, can you name some problems then?
– OppoInfinity
Dec 1 '18 at 17:59




Ok, if I manage to get help, can you name some problems then?
– OppoInfinity
Dec 1 '18 at 17:59










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