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Description
Function Field ArithmeticThis book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the
This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.
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4.8 ★★★★★
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Product Reviews
★★★★★ 1
0 STARS!! DO NOT BUY!! HORRIBLE!!
Color: Black, Style: ET-2800-B, Pattern Name: Printer, Color: Black, Style: ET-2800-B, Pattern Name: Printer
DO NOT BUY! 0 STARS
-I would give 0 stars if I could. This EPSON ET-2800 is the worst printer I have ever owned.
-I work from home where I need to do small print jobs throughout the month. I didn’t need a printer that is super fast or had a lot of bells and whistles. I searched many, many, many reviews and this Epson ET-2800 kept coming up as a really good option for my purposes. It had great reviews and it supposedly uses less ink.
-I went ahead and bought it and it was delivered Dec. 28.
-Throughout the month of January I did a few print jobs here and there. Everything seemed ok.
Toward the end of January I noticed that there was black shadowing behind a whole horizontal line on one of my print jobs. The shadow went the whole width of the paper. Thought it was a one-off and didn’t think about it too much since I had so much going on at the time. I also never dreamed that I would need to clean my printer since I hadn’t even owned it for a month at this point.
-February 2 I started printing some things for work again and the lettering had lines through the center of the page. Even though I had just had the printer for a month and hadn’t printed that much stuff so I really shouldn’t have to clean it already, I used the “clean nozzle” tool on the printer. **I had to do the cleaning cycle 8 times before it was printing correctly meaning there were no missing segments on the sheet that is printed after the cleaning. ** This was a huge waste of my time and ink and paper!!!
-February 16 I attempted to print some pages and again there were lines throughout the papers!!
-February 17 I called Amazon to try to get a refund and they said I was outside of the return window. So -I called Epson. I explained what was happening and the lady told me before they would do anything I had to go through some “detailed instructions” on how to clean the printer. Only AFTER I completed all the steps would they even think about helping me.
-So first step is to perform a nozzle cleaning per the instructions. Did this.
-Instructions say to wait 12 hours before doing anything else. So I waited 12 hours and did another cleaning. Did this twice.
The printer showed no broken/missing segments.
-So I printed some pages and several of the pages had black smudges/lines/dots on the tops of the pages and most of them had black ink all over the bottom right corners of the papers.
-Did the print nozzle cleaning and had broken/missing segments again.
-Instructions say to do a head cleaning. Did head cleaning twice I think, and no broken/missing segments.
-Printed a few pages and several of the pages had the shadows behind the whole horizontal line again and also some random black dots sprinkled throughout several pages.
-Ran a Power Cleaning which is the last step of this process.
This process by the way uses up A LOT of ink! My black ink is now less than half!! All the colors are down by ¼! They were full obviously when I started using the printer and the black was only down a smidge at the beginning of this whole cleaning process.
-Now I have to wait 12 hours to see if the quality improves.
-This is absolutely ridiculous!!!
This whole process has wasted my time (each cleaning takes at least 3 minutes to do. The Power Cleaning takes 12 minutes).
This whole process has used up a TON of my ink!
This whole process has used up a ton of paper!!
I shouldn’t have to clean my printer head or nozzle every single time I need to print!
I have only had this printer for 7 weeks!!!
DO NOT BUY THIS PRINTER! It is junk!
I only hope I can get a refund after all this...
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Reviewed in the United States on February 18, 2025
★★★★★ 5
Almost a year after purchase and this printer has not let me down!
Color: Black, Style: ET-2800-B, Pattern Name: Printer
I wanted to wait to write a review on this printer to see how it held up over time. Happy to report, after almost a year, it is still working perfectly! I was very nervous about purchasing a printer since it was my first time having to shop for one and almost every printer I looked at had something negative to say about the product. After extensive research, I decided to take a leap with the Epson EcoTank 2800.
I was looking for a printer to use for recreational use. Something with decent print quality and longevity as well as something on a reasonable budget. I normally print full pages of color and have been using it regularly for around a year and I have about half of the ink that came with the printer left. Safe to say, the ink lasts a while. The quality may not be the top of the line quality you can get with a more expensive printer, but for the price and just everyday use, the quality is satisfactory. It was easy to set up and walked you through the instructions to connect to devices and configure it. The screen is a little small but if you can overlook that, it really is a nice printer. I have used regular printer paper, card stock, and sticker paper with this printer and I try to load only a few sheets at a time to avoid a jam but I haven't had any issues with it so far.
Overall, I am extremely happy with my purchase. It can be extremely difficult to find a decent printer and some reviews can be misleading or leave you with questions on if the product is for you. If you are looking for something for printing everyday with decent quality and ink consumption that won't cost you a fortune, this printer is definitely worth taking a chance on!
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Reviewed in the United States on April 24, 2026
★★★★★ 4
Printing is great, wifi is a problem (I figured out how to make it work!)
Color: White, Style: ET-2800-W, Pattern Name: Printer
I was on the fence about buying this printer because most of the 1 star reviews all said the same thing... "The Wifi would not work"
So I followed the instructions, Turned on the print, downloaded the IOS app, connected to the printer via Bluetooth, installed the ink, initialized the printheads. While that was going on, the app asked me to setup the wifi. a List of SSID's came up and I selected the one I wanted. I put in the password and it connected and the icon on the printer turned blue. I have a Unifi setup and I could see that the printer connected to access point #3 @ 2.4ghz and got an ip address. I locked the IP address to the printer.
(For my instructions to work for you, you need to make a reservation or lock the ipaddress that your DHCP server provided to the printer. ) If you don't do this, you will get a different address every time you turn the printer on and the computer and app will not be able to find the printer.
When the initialization was complete, the app on my phone said it could not connect to the printer. I decided to try to connect to a computer and come back to the phone app. I downloaded the software package from Epson and ran it. When it went to connect to the printer it could not find it and brings up a list of troubleshooting steps that are not likely to do anything.
There are videos about this problem and they are all useless. I am an IT professional with 26 years of experience. I am not going to unplug the printer and wait five minutes, I am not going to re-boot my router, I have a Unifi network environment with over 150 devices connected... (I have great wifi coverage, I am not moving my printer anywhere) My network works just fine, this printer is the issue!
So at this point, I know that the printer IS connected to my wifi and it got an IP address. This is not a wifi problem as everyone seems to think it is. It is an issue with the Epson software.
I decided to try to install it via the windows printer installer. I selected install via TCP/IP and put the ipaddress that my Unifi system provided to the printer. Windows found the printer and since the Epson app had already installed the drivers... just asked me what drivers I wanted to use. The ET-2800 showed up on the right hand side of the screen. I selected it, it installed and I was able to try a test print. It worked fine. I can print from my computer to the printer via the network.
Next was the phone app. The phone app has the option to find the printer via the IP address. I put the IP address in and it found the printer. The phone app works now too.
So, It took me some time to get this working, it should not have taken any time at all if the software worked correctly. The printer is really nice, it is a shame that the software is so bad when it comes to connecting to the printer.
So if you decide to buy one of these printers, save yourself the headache and just install using the ip address, it is quick and easy that way and it just works. I would have just purchased an HP printer, but I did not want to deal with all the issues of their subscription ink service. I feel like the cost of ink makes this printer worth the hassle of getting it to work.
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Reviewed in the United States on December 2, 2024
★★★★★ 5
Premium Print Quality Meets Economic Design
Color: White, Style: ET-2803, Pattern Name: Printer
I am very impressed with the manufacturer quality of this printer. It feels durable and well-engineered. The print quality is equally excellent; colors are vibrant and text is sharp, easily meeting the standards I need for both documents and photos.
Moving away from cartridges is a huge win. The ink lasts incredibly long, and the refill process is clean and simple.
The only thing I miss is a USB port for printing directly from external storage. My old HP printer had this feature, and it was extremely useful for printing files quickly without a computer. I wish this Epson model included that same convenience.
Final Verdict
A high-quality, reliable printer that produces great results. If you don't mind the lack of a direct USB drive slot, it’s an outstanding choice for home use.
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Reviewed in the United States on April 19, 2026
★★★★★ 5
Handles Photo-Quality Prints, Versatile Connectivity
Color: Black, Style: ET-2800-B, Pattern Name: Printer, Color: Black, Style: ET-2800-B, Pattern Name: Printer
I've had this printer for a whole year now. I was on a severe budget, looking for a photo-quality printer that didn't require Wifi in this digital age- because I quite frankly can't afford my own Wifi connection. My rink-a-dink laptop had to be set up with the software at my library, and an extra cord purchased.
All that said, I mostly print from my phone, because the software app is a bit easier to ensure that I get the highest quality setting. Laptop loves to be a snot about it. The blutooth feature, or "wifi direct", has a way about it, and as soon as you figure out what it wants, it gives minimal problems.
It functions exactly as if a printer had wifi on it, believe it or not.
What sold me on this model was the ability to do all of that, and adjust for different situations, seeing as other brands DEMAND constant wifi connectivity (lookin' at BROTHER, maybe Canon, too), and the long lasting ink tanks- I've printed hundreds of pages, and being a gothic/horror artist, at least a good part of the time, black is the only color even half gone.
What horrified me the most about printer-shoping dropping a lot of money (hundred plus is a lot over here, man) and not getting the prints to look like my work. Well, fear not. The attached pictures are why I made this review, to hopefully ease the anxiety of others. I make digital paintings, and use high DPI for high quality, and also the cutest micro-stickers you've ever seen. Prints come out clear, even if they can sit in the tip of my finger.
Yes, there are probably better printers. Maybe they're faster, and have even better connectivity, and have more bells and whistles. I specifically did not want to pay for those things, so, I'm very happy there's options.
It's not perfect, no, because every now and then, I get what I call a "special edition", where my printer has decided to multi-color barf out the last third of the page. One time it randomly printed in black and white. Well, that's no big deal, my stuff tends to look great in monochrome. Every now and then I get a low quality print; things just look a bit fuzzy. I'm not happy about that, but, you clean the heads, and print something simple and toony, and it has never done it twice in a row. Alignment has been off only one time, and I put the printer away after every session.
It occurs to me that people pay good amounts of money for printers that do that sort of thing anyway, so... Printers gonna printer, no matter where you try to hide.
Overall, I'm happy and relieved. I hope it lasts me a good long time. (Streetratt on Kofi, by the way.🖤 )
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Reviewed in the United States on March 24, 2026
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